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Finding the Fourth Proportional to 308.31, 462.47 and 80.31

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Solution

The fourth proportional to 308.31, 462.47 and 80.31 is: 120.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.31 : 462.47 = 80.31 : x
  2. Step 2: Convert to fraction form
    308.31/462.47 = 80.31/x
  3. Step 3: Cross multiply
    308.31x = 462.47 × 80.31
  4. Step 4: Simplify right side
    308.31x = 37,142.02
  5. Step 5: Solve for x
    x = 37,142.02/308.31
  6. Step 6: Final answer
    x = 120.47

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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.