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Finding the Fourth Proportional to 130.67, 194.72 and 126.32

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Solution

The fourth proportional to 130.67, 194.72 and 126.32 is: 188.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.67 : 194.72 = 126.32 : x
  2. Step 2: Convert to fraction form
    130.67/194.72 = 126.32/x
  3. Step 3: Cross multiply
    130.67x = 194.72 × 126.32
  4. Step 4: Simplify right side
    130.67x = 24,595.43
  5. Step 5: Solve for x
    x = 24,595.43/130.67
  6. Step 6: Final answer
    x = 188.23

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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.