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Finding the Fourth Proportional to 180.82, 269.71 and 177.58

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Solution

The fourth proportional to 180.82, 269.71 and 177.58 is: 264.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.82 : 269.71 = 177.58 : x
  2. Step 2: Convert to fraction form
    180.82/269.71 = 177.58/x
  3. Step 3: Cross multiply
    180.82x = 269.71 × 177.58
  4. Step 4: Simplify right side
    180.82x = 47,895.10
  5. Step 5: Solve for x
    x = 47,895.10/180.82
  6. Step 6: Final answer
    x = 264.88

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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.