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Finding the Fourth Proportional to 181.18, 269.60 and 180.58

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Solution

The fourth proportional to 181.18, 269.60 and 180.58 is: 268.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.18 : 269.60 = 180.58 : x
  2. Step 2: Convert to fraction form
    181.18/269.60 = 180.58/x
  3. Step 3: Cross multiply
    181.18x = 269.60 × 180.58
  4. Step 4: Simplify right side
    181.18x = 48,684.37
  5. Step 5: Solve for x
    x = 48,684.37/181.18
  6. Step 6: Final answer
    x = 268.71

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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.