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Finding the Fourth Proportional to 243.37, 362.55 and 232.30

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Solution

The fourth proportional to 243.37, 362.55 and 232.30 is: 346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.37 : 362.55 = 232.30 : x
  2. Step 2: Convert to fraction form
    243.37/362.55 = 232.30/x
  3. Step 3: Cross multiply
    243.37x = 362.55 × 232.30
  4. Step 4: Simplify right side
    243.37x = 84,217.39
  5. Step 5: Solve for x
    x = 84,217.39/243.37
  6. Step 6: Final answer
    x = 346.05

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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.