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Finding the Fourth Proportional to 115.25, 173.75 and 99.13

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Solution

The fourth proportional to 115.25, 173.75 and 99.13 is: 149.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.25 : 173.75 = 99.13 : x
  2. Step 2: Convert to fraction form
    115.25/173.75 = 99.13/x
  3. Step 3: Cross multiply
    115.25x = 173.75 × 99.13
  4. Step 4: Simplify right side
    115.25x = 17,223.23
  5. Step 5: Solve for x
    x = 17,223.23/115.25
  6. Step 6: Final answer
    x = 149.44

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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.