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Finding the Fourth Proportional to 179.68, 247.78 and 117.56

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Solution

The fourth proportional to 179.68, 247.78 and 117.56 is: 162.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.68 : 247.78 = 117.56 : x
  2. Step 2: Convert to fraction form
    179.68/247.78 = 117.56/x
  3. Step 3: Cross multiply
    179.68x = 247.78 × 117.56
  4. Step 4: Simplify right side
    179.68x = 29,129.02
  5. Step 5: Solve for x
    x = 29,129.02/179.68
  6. Step 6: Final answer
    x = 162.12

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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.