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Finding the Fourth Proportional to 178.05, 244.17 and 169.55

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Solution

The fourth proportional to 178.05, 244.17 and 169.55 is: 232.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.05 : 244.17 = 169.55 : x
  2. Step 2: Convert to fraction form
    178.05/244.17 = 169.55/x
  3. Step 3: Cross multiply
    178.05x = 244.17 × 169.55
  4. Step 4: Simplify right side
    178.05x = 41,399.02
  5. Step 5: Solve for x
    x = 41,399.02/178.05
  6. Step 6: Final answer
    x = 232.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.