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Finding the Fourth Proportional to 243.95, 363.33 and 228.38

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Solution

The fourth proportional to 243.95, 363.33 and 228.38 is: 340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.95 : 363.33 = 228.38 : x
  2. Step 2: Convert to fraction form
    243.95/363.33 = 228.38/x
  3. Step 3: Cross multiply
    243.95x = 363.33 × 228.38
  4. Step 4: Simplify right side
    243.95x = 82,976.16
  5. Step 5: Solve for x
    x = 82,976.16/243.95
  6. Step 6: Final answer
    x = 340.14

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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.