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Finding the Fourth Proportional to 180.53, 272.31 and 178.76

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Solution

The fourth proportional to 180.53, 272.31 and 178.76 is: 269.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.53 : 272.31 = 178.76 : x
  2. Step 2: Convert to fraction form
    180.53/272.31 = 178.76/x
  3. Step 3: Cross multiply
    180.53x = 272.31 × 178.76
  4. Step 4: Simplify right side
    180.53x = 48,677.62
  5. Step 5: Solve for x
    x = 48,677.62/180.53
  6. Step 6: Final answer
    x = 269.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.