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Finding the Fourth Proportional to 179.09, 267.34 and 154.86

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Solution

The fourth proportional to 179.09, 267.34 and 154.86 is: 231.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.09 : 267.34 = 154.86 : x
  2. Step 2: Convert to fraction form
    179.09/267.34 = 154.86/x
  3. Step 3: Cross multiply
    179.09x = 267.34 × 154.86
  4. Step 4: Simplify right side
    179.09x = 41,400.70
  5. Step 5: Solve for x
    x = 41,400.70/179.09
  6. Step 6: Final answer
    x = 231.18

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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.