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Finding the Fourth Proportional to 425.27, 638.05 and 262.76

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Solution

The fourth proportional to 425.27, 638.05 and 262.76 is: 394.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.27 : 638.05 = 262.76 : x
  2. Step 2: Convert to fraction form
    425.27/638.05 = 262.76/x
  3. Step 3: Cross multiply
    425.27x = 638.05 × 262.76
  4. Step 4: Simplify right side
    425.27x = 167,654.02
  5. Step 5: Solve for x
    x = 167,654.02/425.27
  6. Step 6: Final answer
    x = 394.23

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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.