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Finding the Fourth Proportional to 130.98, 197.18 and 100.68

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Solution

The fourth proportional to 130.98, 197.18 and 100.68 is: 151.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.98 : 197.18 = 100.68 : x
  2. Step 2: Convert to fraction form
    130.98/197.18 = 100.68/x
  3. Step 3: Cross multiply
    130.98x = 197.18 × 100.68
  4. Step 4: Simplify right side
    130.98x = 19,851.58
  5. Step 5: Solve for x
    x = 19,851.58/130.98
  6. Step 6: Final answer
    x = 151.56

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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.