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Finding the Fourth Proportional to 114.97, 171.75 and 110.92

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Solution

The fourth proportional to 114.97, 171.75 and 110.92 is: 165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.97 : 171.75 = 110.92 : x
  2. Step 2: Convert to fraction form
    114.97/171.75 = 110.92/x
  3. Step 3: Cross multiply
    114.97x = 171.75 × 110.92
  4. Step 4: Simplify right side
    114.97x = 19,050.51
  5. Step 5: Solve for x
    x = 19,050.51/114.97
  6. Step 6: Final answer
    x = 165.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.