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Finding the Fourth Proportional to 126.30, 188.36 and 108.13

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Solution

The fourth proportional to 126.30, 188.36 and 108.13 is: 161.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.30 : 188.36 = 108.13 : x
  2. Step 2: Convert to fraction form
    126.30/188.36 = 108.13/x
  3. Step 3: Cross multiply
    126.30x = 188.36 × 108.13
  4. Step 4: Simplify right side
    126.30x = 20,367.37
  5. Step 5: Solve for x
    x = 20,367.37/126.30
  6. Step 6: Final answer
    x = 161.26

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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.