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Finding the Fourth Proportional to 267.82, 398.85 and 258.71

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Solution

The fourth proportional to 267.82, 398.85 and 258.71 is: 385.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.82 : 398.85 = 258.71 : x
  2. Step 2: Convert to fraction form
    267.82/398.85 = 258.71/x
  3. Step 3: Cross multiply
    267.82x = 398.85 × 258.71
  4. Step 4: Simplify right side
    267.82x = 103,183.52
  5. Step 5: Solve for x
    x = 103,183.52/267.82
  6. Step 6: Final answer
    x = 385.28

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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.