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Finding the Fourth Proportional to 117.28, 176.92 and 110.53

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Solution

The fourth proportional to 117.28, 176.92 and 110.53 is: 166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.28 : 176.92 = 110.53 : x
  2. Step 2: Convert to fraction form
    117.28/176.92 = 110.53/x
  3. Step 3: Cross multiply
    117.28x = 176.92 × 110.53
  4. Step 4: Simplify right side
    117.28x = 19,554.97
  5. Step 5: Solve for x
    x = 19,554.97/117.28
  6. Step 6: Final answer
    x = 166.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.