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Finding the Fourth Proportional to 243.11, 333.24 and 242.70

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Solution

The fourth proportional to 243.11, 333.24 and 242.70 is: 332.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.11 : 333.24 = 242.70 : x
  2. Step 2: Convert to fraction form
    243.11/333.24 = 242.70/x
  3. Step 3: Cross multiply
    243.11x = 333.24 × 242.70
  4. Step 4: Simplify right side
    243.11x = 80,877.35
  5. Step 5: Solve for x
    x = 80,877.35/243.11
  6. Step 6: Final answer
    x = 332.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.