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Finding the Fourth Proportional to 426.27, 638.15 and 310.71

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Solution

The fourth proportional to 426.27, 638.15 and 310.71 is: 465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.27 : 638.15 = 310.71 : x
  2. Step 2: Convert to fraction form
    426.27/638.15 = 310.71/x
  3. Step 3: Cross multiply
    426.27x = 638.15 × 310.71
  4. Step 4: Simplify right side
    426.27x = 198,278.03
  5. Step 5: Solve for x
    x = 198,278.03/426.27
  6. Step 6: Final answer
    x = 465.15

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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.