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Finding the Fourth Proportional to 180.18, 268.11 and 179.58

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Solution

The fourth proportional to 180.18, 268.11 and 179.58 is: 267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.18 : 268.11 = 179.58 : x
  2. Step 2: Convert to fraction form
    180.18/268.11 = 179.58/x
  3. Step 3: Cross multiply
    180.18x = 268.11 × 179.58
  4. Step 4: Simplify right side
    180.18x = 48,145.85
  5. Step 5: Solve for x
    x = 48,145.85/180.18
  6. Step 6: Final answer
    x = 267.21

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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.