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Finding the Fourth Proportional to 130.32, 196.22 and 115.20

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Solution

The fourth proportional to 130.32, 196.22 and 115.20 is: 173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.32 : 196.22 = 115.20 : x
  2. Step 2: Convert to fraction form
    130.32/196.22 = 115.20/x
  3. Step 3: Cross multiply
    130.32x = 196.22 × 115.20
  4. Step 4: Simplify right side
    130.32x = 22,604.54
  5. Step 5: Solve for x
    x = 22,604.54/130.32
  6. Step 6: Final answer
    x = 173.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.