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Finding the Fourth Proportional to 665.96, 998.94 and 233.02

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Solution

The fourth proportional to 665.96, 998.94 and 233.02 is: 349.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.96 : 998.94 = 233.02 : x
  2. Step 2: Convert to fraction form
    665.96/998.94 = 233.02/x
  3. Step 3: Cross multiply
    665.96x = 998.94 × 233.02
  4. Step 4: Simplify right side
    665.96x = 232,768.00
  5. Step 5: Solve for x
    x = 232,768.00/665.96
  6. Step 6: Final answer
    x = 349.52

Related Problems

Find fourth proportional to 332.98, 499.47 and 116.51
Half scale
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Double scale
Find fourth proportional to 666.96, 1,000.44 and 234.02
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.