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Finding the Fourth Proportional to 243.80, 362.68 and 232.86

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Solution

The fourth proportional to 243.80, 362.68 and 232.86 is: 346.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.80 : 362.68 = 232.86 : x
  2. Step 2: Convert to fraction form
    243.80/362.68 = 232.86/x
  3. Step 3: Cross multiply
    243.80x = 362.68 × 232.86
  4. Step 4: Simplify right side
    243.80x = 84,453.66
  5. Step 5: Solve for x
    x = 84,453.66/243.80
  6. Step 6: Final answer
    x = 346.41

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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.