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Finding the Fourth Proportional to 118.02, 178.02 and 115.04

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Solution

The fourth proportional to 118.02, 178.02 and 115.04 is: 173.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.02 : 178.02 = 115.04 : x
  2. Step 2: Convert to fraction form
    118.02/178.02 = 115.04/x
  3. Step 3: Cross multiply
    118.02x = 178.02 × 115.04
  4. Step 4: Simplify right side
    118.02x = 20,479.42
  5. Step 5: Solve for x
    x = 20,479.42/118.02
  6. Step 6: Final answer
    x = 173.53

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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.