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Finding the Fourth Proportional to 115.45, 172.32 and 101.78

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Solution

The fourth proportional to 115.45, 172.32 and 101.78 is: 151.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.45 : 172.32 = 101.78 : x
  2. Step 2: Convert to fraction form
    115.45/172.32 = 101.78/x
  3. Step 3: Cross multiply
    115.45x = 172.32 × 101.78
  4. Step 4: Simplify right side
    115.45x = 17,538.55
  5. Step 5: Solve for x
    x = 17,538.55/115.45
  6. Step 6: Final answer
    x = 151.92

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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.