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Finding the Fourth Proportional to 115.13, 173.31 and 100.23

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Solution

The fourth proportional to 115.13, 173.31 and 100.23 is: 150.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.13 : 173.31 = 100.23 : x
  2. Step 2: Convert to fraction form
    115.13/173.31 = 100.23/x
  3. Step 3: Cross multiply
    115.13x = 173.31 × 100.23
  4. Step 4: Simplify right side
    115.13x = 17,370.86
  5. Step 5: Solve for x
    x = 17,370.86/115.13
  6. Step 6: Final answer
    x = 150.89

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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.