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Finding the Fourth Proportional to 130.73, 197.06 and 125.24

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Solution

The fourth proportional to 130.73, 197.06 and 125.24 is: 188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.73 : 197.06 = 125.24 : x
  2. Step 2: Convert to fraction form
    130.73/197.06 = 125.24/x
  3. Step 3: Cross multiply
    130.73x = 197.06 × 125.24
  4. Step 4: Simplify right side
    130.73x = 24,678.18
  5. Step 5: Solve for x
    x = 24,678.18/130.73
  6. Step 6: Final answer
    x = 188.78

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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.