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Finding the Fourth Proportional to 267.59, 398.71 and 255.80

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Solution

The fourth proportional to 267.59, 398.71 and 255.80 is: 381.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.59 : 398.71 = 255.80 : x
  2. Step 2: Convert to fraction form
    267.59/398.71 = 255.80/x
  3. Step 3: Cross multiply
    267.59x = 398.71 × 255.80
  4. Step 4: Simplify right side
    267.59x = 101,988.02
  5. Step 5: Solve for x
    x = 101,988.02/267.59
  6. Step 6: Final answer
    x = 381.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.