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Finding the Fourth Proportional to 362.38, 543.39 and 118.78

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Solution

The fourth proportional to 362.38, 543.39 and 118.78 is: 178.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.38 : 543.39 = 118.78 : x
  2. Step 2: Convert to fraction form
    362.38/543.39 = 118.78/x
  3. Step 3: Cross multiply
    362.38x = 543.39 × 118.78
  4. Step 4: Simplify right side
    362.38x = 64,543.86
  5. Step 5: Solve for x
    x = 64,543.86/362.38
  6. Step 6: Final answer
    x = 178.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.