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Finding the Fourth Proportional to 256.91, 385.33 and 83.70

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Solution

The fourth proportional to 256.91, 385.33 and 83.70 is: 125.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.91 : 385.33 = 83.70 : x
  2. Step 2: Convert to fraction form
    256.91/385.33 = 83.70/x
  3. Step 3: Cross multiply
    256.91x = 385.33 × 83.70
  4. Step 4: Simplify right side
    256.91x = 32,253.58
  5. Step 5: Solve for x
    x = 32,253.58/256.91
  6. Step 6: Final answer
    x = 125.54

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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.