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Finding the Fourth Proportional to 118.05, 176.61 and 103.47

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Solution

The fourth proportional to 118.05, 176.61 and 103.47 is: 154.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.05 : 176.61 = 103.47 : x
  2. Step 2: Convert to fraction form
    118.05/176.61 = 103.47/x
  3. Step 3: Cross multiply
    118.05x = 176.61 × 103.47
  4. Step 4: Simplify right side
    118.05x = 18,273.84
  5. Step 5: Solve for x
    x = 18,273.84/118.05
  6. Step 6: Final answer
    x = 154.80

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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.