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Finding the Fourth Proportional to 437.28, 654.27 and 267.60

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Solution

The fourth proportional to 437.28, 654.27 and 267.60 is: 400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.28 : 654.27 = 267.60 : x
  2. Step 2: Convert to fraction form
    437.28/654.27 = 267.60/x
  3. Step 3: Cross multiply
    437.28x = 654.27 × 267.60
  4. Step 4: Simplify right side
    437.28x = 175,082.65
  5. Step 5: Solve for x
    x = 175,082.65/437.28
  6. Step 6: Final answer
    x = 400.39

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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.