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Finding the Fourth Proportional to 462.66, 638.47 and 255.66

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Solution

The fourth proportional to 462.66, 638.47 and 255.66 is: 352.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.66 : 638.47 = 255.66 : x
  2. Step 2: Convert to fraction form
    462.66/638.47 = 255.66/x
  3. Step 3: Cross multiply
    462.66x = 638.47 × 255.66
  4. Step 4: Simplify right side
    462.66x = 163,227.73
  5. Step 5: Solve for x
    x = 163,227.73/462.66
  6. Step 6: Final answer
    x = 352.81

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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.