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Finding the Fourth Proportional to 461.96, 693.03 and 230.84

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Solution

The fourth proportional to 461.96, 693.03 and 230.84 is: 346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.96 : 693.03 = 230.84 : x
  2. Step 2: Convert to fraction form
    461.96/693.03 = 230.84/x
  3. Step 3: Cross multiply
    461.96x = 693.03 × 230.84
  4. Step 4: Simplify right side
    461.96x = 159,979.05
  5. Step 5: Solve for x
    x = 159,979.05/461.96
  6. Step 6: Final answer
    x = 346.30

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Double scale
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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.