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Finding the Fourth Proportional to 461.73, 637.16 and 331.32

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Solution

The fourth proportional to 461.73, 637.16 and 331.32 is: 457.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.73 : 637.16 = 331.32 : x
  2. Step 2: Convert to fraction form
    461.73/637.16 = 331.32/x
  3. Step 3: Cross multiply
    461.73x = 637.16 × 331.32
  4. Step 4: Simplify right side
    461.73x = 211,102.19
  5. Step 5: Solve for x
    x = 211,102.19/461.73
  6. Step 6: Final answer
    x = 457.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.