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Finding the Fourth Proportional to 130.86, 197.15 and 99

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Solution

The fourth proportional to 130.86, 197.15 and 99 is: 149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.86 : 197.15 = 99 : x
  2. Step 2: Convert to fraction form
    130.86/197.15 = 99/x
  3. Step 3: Cross multiply
    130.86x = 197.15 × 99
  4. Step 4: Simplify right side
    130.86x = 19,517.36
  5. Step 5: Solve for x
    x = 19,517.36/130.86
  6. Step 6: Final answer
    x = 149.15

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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.