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Finding the Fourth Proportional to 179.15, 269.18 and 135.86

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Solution

The fourth proportional to 179.15, 269.18 and 135.86 is: 204.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.15 : 269.18 = 135.86 : x
  2. Step 2: Convert to fraction form
    179.15/269.18 = 135.86/x
  3. Step 3: Cross multiply
    179.15x = 269.18 × 135.86
  4. Step 4: Simplify right side
    179.15x = 36,568.77
  5. Step 5: Solve for x
    x = 36,568.77/179.15
  6. Step 6: Final answer
    x = 204.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.