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Finding the Fourth Proportional to 461.54, 637.04 and 296.15

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Solution

The fourth proportional to 461.54, 637.04 and 296.15 is: 408.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.54 : 637.04 = 296.15 : x
  2. Step 2: Convert to fraction form
    461.54/637.04 = 296.15/x
  3. Step 3: Cross multiply
    461.54x = 637.04 × 296.15
  4. Step 4: Simplify right side
    461.54x = 188,654.73
  5. Step 5: Solve for x
    x = 188,654.73/461.54
  6. Step 6: Final answer
    x = 408.75

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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.