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Finding the Fourth Proportional to 462.92, 638.78 and 266.46

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Solution

The fourth proportional to 462.92, 638.78 and 266.46 is: 367.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.92 : 638.78 = 266.46 : x
  2. Step 2: Convert to fraction form
    462.92/638.78 = 266.46/x
  3. Step 3: Cross multiply
    462.92x = 638.78 × 266.46
  4. Step 4: Simplify right side
    462.92x = 170,209.32
  5. Step 5: Solve for x
    x = 170,209.32/462.92
  6. Step 6: Final answer
    x = 367.69

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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.