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Finding the Fourth Proportional to 120.68, 179.80 and 114.56

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Solution

The fourth proportional to 120.68, 179.80 and 114.56 is: 170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.68 : 179.80 = 114.56 : x
  2. Step 2: Convert to fraction form
    120.68/179.80 = 114.56/x
  3. Step 3: Cross multiply
    120.68x = 179.80 × 114.56
  4. Step 4: Simplify right side
    120.68x = 20,597.89
  5. Step 5: Solve for x
    x = 20,597.89/120.68
  6. Step 6: Final answer
    x = 170.68

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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.