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Finding the Fourth Proportional to 338.64, 506.88 and 256.92

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Solution

The fourth proportional to 338.64, 506.88 and 256.92 is: 384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.64 : 506.88 = 256.92 : x
  2. Step 2: Convert to fraction form
    338.64/506.88 = 256.92/x
  3. Step 3: Cross multiply
    338.64x = 506.88 × 256.92
  4. Step 4: Simplify right side
    338.64x = 130,227.61
  5. Step 5: Solve for x
    x = 130,227.61/338.64
  6. Step 6: Final answer
    x = 384.56

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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.