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Finding the Fourth Proportional to 243.68, 366.28 and 141.17

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Solution

The fourth proportional to 243.68, 366.28 and 141.17 is: 212.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.68 : 366.28 = 141.17 : x
  2. Step 2: Convert to fraction form
    243.68/366.28 = 141.17/x
  3. Step 3: Cross multiply
    243.68x = 366.28 × 141.17
  4. Step 4: Simplify right side
    243.68x = 51,708.31
  5. Step 5: Solve for x
    x = 51,708.31/243.68
  6. Step 6: Final answer
    x = 212.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.