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Finding the Fourth Proportional to 462.91, 638.87 and 266.49

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Solution

The fourth proportional to 462.91, 638.87 and 266.49 is: 367.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.91 : 638.87 = 266.49 : x
  2. Step 2: Convert to fraction form
    462.91/638.87 = 266.49/x
  3. Step 3: Cross multiply
    462.91x = 638.87 × 266.49
  4. Step 4: Simplify right side
    462.91x = 170,252.47
  5. Step 5: Solve for x
    x = 170,252.47/462.91
  6. Step 6: Final answer
    x = 367.79

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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.