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Finding the Fourth Proportional to 267.57, 398.32 and 265.95

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Solution

The fourth proportional to 267.57, 398.32 and 265.95 is: 395.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.57 : 398.32 = 265.95 : x
  2. Step 2: Convert to fraction form
    267.57/398.32 = 265.95/x
  3. Step 3: Cross multiply
    267.57x = 398.32 × 265.95
  4. Step 4: Simplify right side
    267.57x = 105,932.54
  5. Step 5: Solve for x
    x = 105,932.54/267.57
  6. Step 6: Final answer
    x = 395.91

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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.