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Finding the Fourth Proportional to 110.97, 153.18 and 86.31

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Solution

The fourth proportional to 110.97, 153.18 and 86.31 is: 119.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.97 : 153.18 = 86.31 : x
  2. Step 2: Convert to fraction form
    110.97/153.18 = 86.31/x
  3. Step 3: Cross multiply
    110.97x = 153.18 × 86.31
  4. Step 4: Simplify right side
    110.97x = 13,220.97
  5. Step 5: Solve for x
    x = 13,220.97/110.97
  6. Step 6: Final answer
    x = 119.14

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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.