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Finding the Fourth Proportional to 130.86, 197.01 and 119.70

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Solution

The fourth proportional to 130.86, 197.01 and 119.70 is: 180.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.86 : 197.01 = 119.70 : x
  2. Step 2: Convert to fraction form
    130.86/197.01 = 119.70/x
  3. Step 3: Cross multiply
    130.86x = 197.01 × 119.70
  4. Step 4: Simplify right side
    130.86x = 23,582.10
  5. Step 5: Solve for x
    x = 23,582.10/130.86
  6. Step 6: Final answer
    x = 180.21

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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.