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Finding the Fourth Proportional to 180.49, 269.26 and 178.19

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Solution

The fourth proportional to 180.49, 269.26 and 178.19 is: 265.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.49 : 269.26 = 178.19 : x
  2. Step 2: Convert to fraction form
    180.49/269.26 = 178.19/x
  3. Step 3: Cross multiply
    180.49x = 269.26 × 178.19
  4. Step 4: Simplify right side
    180.49x = 47,977.65
  5. Step 5: Solve for x
    x = 47,977.65/180.49
  6. Step 6: Final answer
    x = 265.82

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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.