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Finding the Fourth Proportional to 180.65, 269.71 and 178.72

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Solution

The fourth proportional to 180.65, 269.71 and 178.72 is: 266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.65 : 269.71 = 178.72 : x
  2. Step 2: Convert to fraction form
    180.65/269.71 = 178.72/x
  3. Step 3: Cross multiply
    180.65x = 269.71 × 178.72
  4. Step 4: Simplify right side
    180.65x = 48,203.97
  5. Step 5: Solve for x
    x = 48,203.97/180.65
  6. Step 6: Final answer
    x = 266.84

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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.