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Finding the Fourth Proportional to 130.78, 197.19 and 120.02

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Solution

The fourth proportional to 130.78, 197.19 and 120.02 is: 180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.78 : 197.19 = 120.02 : x
  2. Step 2: Convert to fraction form
    130.78/197.19 = 120.02/x
  3. Step 3: Cross multiply
    130.78x = 197.19 × 120.02
  4. Step 4: Simplify right side
    130.78x = 23,665.76
  5. Step 5: Solve for x
    x = 23,665.76/130.78
  6. Step 6: Final answer
    x = 180.96

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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.