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Finding the Fourth Proportional to 118.04, 175.80 and 115.88

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Solution

The fourth proportional to 118.04, 175.80 and 115.88 is: 172.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.04 : 175.80 = 115.88 : x
  2. Step 2: Convert to fraction form
    118.04/175.80 = 115.88/x
  3. Step 3: Cross multiply
    118.04x = 175.80 × 115.88
  4. Step 4: Simplify right side
    118.04x = 20,371.70
  5. Step 5: Solve for x
    x = 20,371.70/118.04
  6. Step 6: Final answer
    x = 172.58

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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.