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Finding the Fourth Proportional to 414.70, 571.88 and 267.38

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Solution

The fourth proportional to 414.70, 571.88 and 267.38 is: 368.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.70 : 571.88 = 267.38 : x
  2. Step 2: Convert to fraction form
    414.70/571.88 = 267.38/x
  3. Step 3: Cross multiply
    414.70x = 571.88 × 267.38
  4. Step 4: Simplify right side
    414.70x = 152,906.42
  5. Step 5: Solve for x
    x = 152,906.42/414.70
  6. Step 6: Final answer
    x = 368.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.