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Finding the Fourth Proportional to 462.43, 638.24 and 304.78

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Solution

The fourth proportional to 462.43, 638.24 and 304.78 is: 420.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.43 : 638.24 = 304.78 : x
  2. Step 2: Convert to fraction form
    462.43/638.24 = 304.78/x
  3. Step 3: Cross multiply
    462.43x = 638.24 × 304.78
  4. Step 4: Simplify right side
    462.43x = 194,522.79
  5. Step 5: Solve for x
    x = 194,522.79/462.43
  6. Step 6: Final answer
    x = 420.65

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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.