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Finding the Fourth Proportional to 462.38, 637.61 and 296.55

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Solution

The fourth proportional to 462.38, 637.61 and 296.55 is: 408.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.38 : 637.61 = 296.55 : x
  2. Step 2: Convert to fraction form
    462.38/637.61 = 296.55/x
  3. Step 3: Cross multiply
    462.38x = 637.61 × 296.55
  4. Step 4: Simplify right side
    462.38x = 189,081.76
  5. Step 5: Solve for x
    x = 189,081.76/462.38
  6. Step 6: Final answer
    x = 408.94

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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.