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Finding the Fourth Proportional to 243.49, 363.50 and 234.95

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Solution

The fourth proportional to 243.49, 363.50 and 234.95 is: 350.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.49 : 363.50 = 234.95 : x
  2. Step 2: Convert to fraction form
    243.49/363.50 = 234.95/x
  3. Step 3: Cross multiply
    243.49x = 363.50 × 234.95
  4. Step 4: Simplify right side
    243.49x = 85,402.21
  5. Step 5: Solve for x
    x = 85,402.21/243.49
  6. Step 6: Final answer
    x = 350.74

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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.