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Finding the Fourth Proportional to 544.38, 817.17 and 256.42

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Solution

The fourth proportional to 544.38, 817.17 and 256.42 is: 384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.38 : 817.17 = 256.42 : x
  2. Step 2: Convert to fraction form
    544.38/817.17 = 256.42/x
  3. Step 3: Cross multiply
    544.38x = 817.17 × 256.42
  4. Step 4: Simplify right side
    544.38x = 209,538.73
  5. Step 5: Solve for x
    x = 209,538.73/544.38
  6. Step 6: Final answer
    x = 384.91

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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.