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Finding the Fourth Proportional to 126.40, 188.48 and 115.20

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Solution

The fourth proportional to 126.40, 188.48 and 115.20 is: 171.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.40 : 188.48 = 115.20 : x
  2. Step 2: Convert to fraction form
    126.40/188.48 = 115.20/x
  3. Step 3: Cross multiply
    126.40x = 188.48 × 115.20
  4. Step 4: Simplify right side
    126.40x = 21,712.90
  5. Step 5: Solve for x
    x = 21,712.90/126.40
  6. Step 6: Final answer
    x = 171.78

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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.