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Finding the Fourth Proportional to 461.78, 693.92 and 256.52

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Solution

The fourth proportional to 461.78, 693.92 and 256.52 is: 385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.78 : 693.92 = 256.52 : x
  2. Step 2: Convert to fraction form
    461.78/693.92 = 256.52/x
  3. Step 3: Cross multiply
    461.78x = 693.92 × 256.52
  4. Step 4: Simplify right side
    461.78x = 178,001.39
  5. Step 5: Solve for x
    x = 178,001.39/461.78
  6. Step 6: Final answer
    x = 385.47

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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.