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Finding the Fourth Proportional to 462.27, 638.03 and 296.70

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Solution

The fourth proportional to 462.27, 638.03 and 296.70 is: 409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.27 : 638.03 = 296.70 : x
  2. Step 2: Convert to fraction form
    462.27/638.03 = 296.70/x
  3. Step 3: Cross multiply
    462.27x = 638.03 × 296.70
  4. Step 4: Simplify right side
    462.27x = 189,300.18
  5. Step 5: Solve for x
    x = 189,300.18/462.27
  6. Step 6: Final answer
    x = 409.50

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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.