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Finding the Fourth Proportional to 126.49, 188.84 and 109.30

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Solution

The fourth proportional to 126.49, 188.84 and 109.30 is: 163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.49 : 188.84 = 109.30 : x
  2. Step 2: Convert to fraction form
    126.49/188.84 = 109.30/x
  3. Step 3: Cross multiply
    126.49x = 188.84 × 109.30
  4. Step 4: Simplify right side
    126.49x = 20,640.21
  5. Step 5: Solve for x
    x = 20,640.21/126.49
  6. Step 6: Final answer
    x = 163.18

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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.