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Finding the Fourth Proportional to 442.57, 610.64 and 267.88

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Solution

The fourth proportional to 442.57, 610.64 and 267.88 is: 369.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.57 : 610.64 = 267.88 : x
  2. Step 2: Convert to fraction form
    442.57/610.64 = 267.88/x
  3. Step 3: Cross multiply
    442.57x = 610.64 × 267.88
  4. Step 4: Simplify right side
    442.57x = 163,576.90
  5. Step 5: Solve for x
    x = 163,576.90/442.57
  6. Step 6: Final answer
    x = 369.61

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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.