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Finding the Fourth Proportional to 231.80, 319.95 and 182.66

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Solution

The fourth proportional to 231.80, 319.95 and 182.66 is: 252.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.80 : 319.95 = 182.66 : x
  2. Step 2: Convert to fraction form
    231.80/319.95 = 182.66/x
  3. Step 3: Cross multiply
    231.80x = 319.95 × 182.66
  4. Step 4: Simplify right side
    231.80x = 58,440.47
  5. Step 5: Solve for x
    x = 58,440.47/231.80
  6. Step 6: Final answer
    x = 252.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.