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Finding the Fourth Proportional to 130.89, 194.79 and 126.03

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Solution

The fourth proportional to 130.89, 194.79 and 126.03 is: 187.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.89 : 194.79 = 126.03 : x
  2. Step 2: Convert to fraction form
    130.89/194.79 = 126.03/x
  3. Step 3: Cross multiply
    130.89x = 194.79 × 126.03
  4. Step 4: Simplify right side
    130.89x = 24,548.75
  5. Step 5: Solve for x
    x = 24,548.75/130.89
  6. Step 6: Final answer
    x = 187.55

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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.