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Finding the Fourth Proportional to 130.66, 194.43 and 126.25

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Solution

The fourth proportional to 130.66, 194.43 and 126.25 is: 187.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.66 : 194.43 = 126.25 : x
  2. Step 2: Convert to fraction form
    130.66/194.43 = 126.25/x
  3. Step 3: Cross multiply
    130.66x = 194.43 × 126.25
  4. Step 4: Simplify right side
    130.66x = 24,546.79
  5. Step 5: Solve for x
    x = 24,546.79/130.66
  6. Step 6: Final answer
    x = 187.87

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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.