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Finding the Fourth Proportional to 180.76, 269.12 and 178.20

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Solution

The fourth proportional to 180.76, 269.12 and 178.20 is: 265.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.76 : 269.12 = 178.20 : x
  2. Step 2: Convert to fraction form
    180.76/269.12 = 178.20/x
  3. Step 3: Cross multiply
    180.76x = 269.12 × 178.20
  4. Step 4: Simplify right side
    180.76x = 47,957.63
  5. Step 5: Solve for x
    x = 47,957.63/180.76
  6. Step 6: Final answer
    x = 265.32

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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.