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Finding the Fourth Proportional to 180.30, 269.12 and 165.84

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Solution

The fourth proportional to 180.30, 269.12 and 165.84 is: 247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.30 : 269.12 = 165.84 : x
  2. Step 2: Convert to fraction form
    180.30/269.12 = 165.84/x
  3. Step 3: Cross multiply
    180.30x = 269.12 × 165.84
  4. Step 4: Simplify right side
    180.30x = 44,630.86
  5. Step 5: Solve for x
    x = 44,630.86/180.30
  6. Step 6: Final answer
    x = 247.54

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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.