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Finding the Fourth Proportional to 461.98, 693.42 and 256.78

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Solution

The fourth proportional to 461.98, 693.42 and 256.78 is: 385.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.98 : 693.42 = 256.78 : x
  2. Step 2: Convert to fraction form
    461.98/693.42 = 256.78/x
  3. Step 3: Cross multiply
    461.98x = 693.42 × 256.78
  4. Step 4: Simplify right side
    461.98x = 178,056.39
  5. Step 5: Solve for x
    x = 178,056.39/461.98
  6. Step 6: Final answer
    x = 385.42

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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.