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Finding the Fourth Proportional to 180.20, 268.12 and 179.56

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Solution

The fourth proportional to 180.20, 268.12 and 179.56 is: 267.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.20 : 268.12 = 179.56 : x
  2. Step 2: Convert to fraction form
    180.20/268.12 = 179.56/x
  3. Step 3: Cross multiply
    180.20x = 268.12 × 179.56
  4. Step 4: Simplify right side
    180.20x = 48,143.63
  5. Step 5: Solve for x
    x = 48,143.63/180.20
  6. Step 6: Final answer
    x = 267.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.