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Finding the Fourth Proportional to 180.20, 249.18 and 161.76

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Solution

The fourth proportional to 180.20, 249.18 and 161.76 is: 223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.20 : 249.18 = 161.76 : x
  2. Step 2: Convert to fraction form
    180.20/249.18 = 161.76/x
  3. Step 3: Cross multiply
    180.20x = 249.18 × 161.76
  4. Step 4: Simplify right side
    180.20x = 40,307.36
  5. Step 5: Solve for x
    x = 40,307.36/180.20
  6. Step 6: Final answer
    x = 223.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.