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Finding the Fourth Proportional to 180.68, 250.39 and 177.22

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Solution

The fourth proportional to 180.68, 250.39 and 177.22 is: 245.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.68 : 250.39 = 177.22 : x
  2. Step 2: Convert to fraction form
    180.68/250.39 = 177.22/x
  3. Step 3: Cross multiply
    180.68x = 250.39 × 177.22
  4. Step 4: Simplify right side
    180.68x = 44,373.67
  5. Step 5: Solve for x
    x = 44,373.67/180.68
  6. Step 6: Final answer
    x = 245.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.