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Finding the Fourth Proportional to 179.12, 247.05 and 113.72

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Solution

The fourth proportional to 179.12, 247.05 and 113.72 is: 156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.12 : 247.05 = 113.72 : x
  2. Step 2: Convert to fraction form
    179.12/247.05 = 113.72/x
  3. Step 3: Cross multiply
    179.12x = 247.05 × 113.72
  4. Step 4: Simplify right side
    179.12x = 28,093.29
  5. Step 5: Solve for x
    x = 28,093.29/179.12
  6. Step 6: Final answer
    x = 156.84

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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.