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Finding the Fourth Proportional to 243.43, 362.65 and 231.82

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Solution

The fourth proportional to 243.43, 362.65 and 231.82 is: 345.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.43 : 362.65 = 231.82 : x
  2. Step 2: Convert to fraction form
    243.43/362.65 = 231.82/x
  3. Step 3: Cross multiply
    243.43x = 362.65 × 231.82
  4. Step 4: Simplify right side
    243.43x = 84,069.52
  5. Step 5: Solve for x
    x = 84,069.52/243.43
  6. Step 6: Final answer
    x = 345.35

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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.