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Finding the Fourth Proportional to 115.87, 174.80 and 110.18

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Solution

The fourth proportional to 115.87, 174.80 and 110.18 is: 166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.87 : 174.80 = 110.18 : x
  2. Step 2: Convert to fraction form
    115.87/174.80 = 110.18/x
  3. Step 3: Cross multiply
    115.87x = 174.80 × 110.18
  4. Step 4: Simplify right side
    115.87x = 19,258.59
  5. Step 5: Solve for x
    x = 19,258.59/115.87
  6. Step 6: Final answer
    x = 166.22

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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.