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Finding the Fourth Proportional to 231.79, 319.83 and 132.21

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Solution

The fourth proportional to 231.79, 319.83 and 132.21 is: 182.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.79 : 319.83 = 132.21 : x
  2. Step 2: Convert to fraction form
    231.79/319.83 = 132.21/x
  3. Step 3: Cross multiply
    231.79x = 319.83 × 132.21
  4. Step 4: Simplify right side
    231.79x = 42,284.72
  5. Step 5: Solve for x
    x = 42,284.72/231.79
  6. Step 6: Final answer
    x = 182.43

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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.