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Finding the Fourth Proportional to 133.04, 198.48 and 115.76

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Solution

The fourth proportional to 133.04, 198.48 and 115.76 is: 172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.04 : 198.48 = 115.76 : x
  2. Step 2: Convert to fraction form
    133.04/198.48 = 115.76/x
  3. Step 3: Cross multiply
    133.04x = 198.48 × 115.76
  4. Step 4: Simplify right side
    133.04x = 22,976.04
  5. Step 5: Solve for x
    x = 22,976.04/133.04
  6. Step 6: Final answer
    x = 172.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.