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Finding the Fourth Proportional to 242.49, 333.33 and 198.15

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Solution

The fourth proportional to 242.49, 333.33 and 198.15 is: 272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.49 : 333.33 = 198.15 : x
  2. Step 2: Convert to fraction form
    242.49/333.33 = 198.15/x
  3. Step 3: Cross multiply
    242.49x = 333.33 × 198.15
  4. Step 4: Simplify right side
    242.49x = 66,049.34
  5. Step 5: Solve for x
    x = 66,049.34/242.49
  6. Step 6: Final answer
    x = 272.38

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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.