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Finding the Fourth Proportional to 614.43, 920.62 and 267.24

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Solution

The fourth proportional to 614.43, 920.62 and 267.24 is: 400.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.43 : 920.62 = 267.24 : x
  2. Step 2: Convert to fraction form
    614.43/920.62 = 267.24/x
  3. Step 3: Cross multiply
    614.43x = 920.62 × 267.24
  4. Step 4: Simplify right side
    614.43x = 246,029.52
  5. Step 5: Solve for x
    x = 246,029.52/614.43
  6. Step 6: Final answer
    x = 400.42

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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.