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Finding the Fourth Proportional to 252.64, 379.02 and 81.64

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Solution

The fourth proportional to 252.64, 379.02 and 81.64 is: 122.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.64 : 379.02 = 81.64 : x
  2. Step 2: Convert to fraction form
    252.64/379.02 = 81.64/x
  3. Step 3: Cross multiply
    252.64x = 379.02 × 81.64
  4. Step 4: Simplify right side
    252.64x = 30,943.19
  5. Step 5: Solve for x
    x = 30,943.19/252.64
  6. Step 6: Final answer
    x = 122.48

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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.