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Finding the Fourth Proportional to 114.92, 171.40 and 101.24

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Solution

The fourth proportional to 114.92, 171.40 and 101.24 is: 151.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.92 : 171.40 = 101.24 : x
  2. Step 2: Convert to fraction form
    114.92/171.40 = 101.24/x
  3. Step 3: Cross multiply
    114.92x = 171.40 × 101.24
  4. Step 4: Simplify right side
    114.92x = 17,352.54
  5. Step 5: Solve for x
    x = 17,352.54/114.92
  6. Step 6: Final answer
    x = 151.00

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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.