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Finding the Fourth Proportional to 657.38, 986.27 and 267.19

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Solution

The fourth proportional to 657.38, 986.27 and 267.19 is: 400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.38 : 986.27 = 267.19 : x
  2. Step 2: Convert to fraction form
    657.38/986.27 = 267.19/x
  3. Step 3: Cross multiply
    657.38x = 986.27 × 267.19
  4. Step 4: Simplify right side
    657.38x = 263,521.48
  5. Step 5: Solve for x
    x = 263,521.48/657.38
  6. Step 6: Final answer
    x = 400.87

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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.