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Finding the Fourth Proportional to 130.38, 196.47 and 122.68

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Solution

The fourth proportional to 130.38, 196.47 and 122.68 is: 184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.38 : 196.47 = 122.68 : x
  2. Step 2: Convert to fraction form
    130.38/196.47 = 122.68/x
  3. Step 3: Cross multiply
    130.38x = 196.47 × 122.68
  4. Step 4: Simplify right side
    130.38x = 24,103.19
  5. Step 5: Solve for x
    x = 24,103.19/130.38
  6. Step 6: Final answer
    x = 184.87

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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.