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Finding the Fourth Proportional to 115.46, 172.30 and 100.22

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Solution

The fourth proportional to 115.46, 172.30 and 100.22 is: 149.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.46 : 172.30 = 100.22 : x
  2. Step 2: Convert to fraction form
    115.46/172.30 = 100.22/x
  3. Step 3: Cross multiply
    115.46x = 172.30 × 100.22
  4. Step 4: Simplify right side
    115.46x = 17,267.91
  5. Step 5: Solve for x
    x = 17,267.91/115.46
  6. Step 6: Final answer
    x = 149.56

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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.