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Finding the Fourth Proportional to 621.41, 932.38 and 256.43

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Solution

The fourth proportional to 621.41, 932.38 and 256.43 is: 384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.41 : 932.38 = 256.43 : x
  2. Step 2: Convert to fraction form
    621.41/932.38 = 256.43/x
  3. Step 3: Cross multiply
    621.41x = 932.38 × 256.43
  4. Step 4: Simplify right side
    621.41x = 239,091.89
  5. Step 5: Solve for x
    x = 239,091.89/621.41
  6. Step 6: Final answer
    x = 384.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.