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Finding the Fourth Proportional to 243.29, 363.00 and 228.52

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Solution

The fourth proportional to 243.29, 363.00 and 228.52 is: 340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.29 : 363.00 = 228.52 : x
  2. Step 2: Convert to fraction form
    243.29/363.00 = 228.52/x
  3. Step 3: Cross multiply
    243.29x = 363.00 × 228.52
  4. Step 4: Simplify right side
    243.29x = 82,952.03
  5. Step 5: Solve for x
    x = 82,952.03/243.29
  6. Step 6: Final answer
    x = 340.96

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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.