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Finding the Fourth Proportional to 462.38, 638.48 and 346.55

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Solution

The fourth proportional to 462.38, 638.48 and 346.55 is: 478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.38 : 638.48 = 346.55 : x
  2. Step 2: Convert to fraction form
    462.38/638.48 = 346.55/x
  3. Step 3: Cross multiply
    462.38x = 638.48 × 346.55
  4. Step 4: Simplify right side
    462.38x = 221,262.92
  5. Step 5: Solve for x
    x = 221,262.92/462.38
  6. Step 6: Final answer
    x = 478.54

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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.