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Finding the Fourth Proportional to 665.96, 998.94 and 233.42

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Solution

The fourth proportional to 665.96, 998.94 and 233.42 is: 350.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.96 : 998.94 = 233.42 : x
  2. Step 2: Convert to fraction form
    665.96/998.94 = 233.42/x
  3. Step 3: Cross multiply
    665.96x = 998.94 × 233.42
  4. Step 4: Simplify right side
    665.96x = 233,172.57
  5. Step 5: Solve for x
    x = 233,172.57/665.96
  6. Step 6: Final answer
    x = 350.13

Related Problems

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Half scale
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Double scale
Find fourth proportional to 666.96, 1,000.44 and 234.42
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.