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Finding the Fourth Proportional to 337.44, 505.76 and 256

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Solution

The fourth proportional to 337.44, 505.76 and 256 is: 383.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.44 : 505.76 = 256 : x
  2. Step 2: Convert to fraction form
    337.44/505.76 = 256/x
  3. Step 3: Cross multiply
    337.44x = 505.76 × 256
  4. Step 4: Simplify right side
    337.44x = 129,474.56
  5. Step 5: Solve for x
    x = 129,474.56/337.44
  6. Step 6: Final answer
    x = 383.70

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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.