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Finding the Fourth Proportional to 115.22, 171.97 and 100.90

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Solution

The fourth proportional to 115.22, 171.97 and 100.90 is: 150.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.22 : 171.97 = 100.90 : x
  2. Step 2: Convert to fraction form
    115.22/171.97 = 100.90/x
  3. Step 3: Cross multiply
    115.22x = 171.97 × 100.90
  4. Step 4: Simplify right side
    115.22x = 17,351.34
  5. Step 5: Solve for x
    x = 17,351.34/115.22
  6. Step 6: Final answer
    x = 150.59

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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.