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Finding the Fourth Proportional to 393.50, 591.12 and 256.76

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Solution

The fourth proportional to 393.50, 591.12 and 256.76 is: 385.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.50 : 591.12 = 256.76 : x
  2. Step 2: Convert to fraction form
    393.50/591.12 = 256.76/x
  3. Step 3: Cross multiply
    393.50x = 591.12 × 256.76
  4. Step 4: Simplify right side
    393.50x = 151,775.97
  5. Step 5: Solve for x
    x = 151,775.97/393.50
  6. Step 6: Final answer
    x = 385.71

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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.