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Finding the Fourth Proportional to 110.40, 152.31 and 82.71

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Solution

The fourth proportional to 110.40, 152.31 and 82.71 is: 114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.40 : 152.31 = 82.71 : x
  2. Step 2: Convert to fraction form
    110.40/152.31 = 82.71/x
  3. Step 3: Cross multiply
    110.40x = 152.31 × 82.71
  4. Step 4: Simplify right side
    110.40x = 12,597.56
  5. Step 5: Solve for x
    x = 12,597.56/110.40
  6. Step 6: Final answer
    x = 114.11

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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.