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Finding the Fourth Proportional to 242.97, 365.37 and 206.52

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Solution

The fourth proportional to 242.97, 365.37 and 206.52 is: 310.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.97 : 365.37 = 206.52 : x
  2. Step 2: Convert to fraction form
    242.97/365.37 = 206.52/x
  3. Step 3: Cross multiply
    242.97x = 365.37 × 206.52
  4. Step 4: Simplify right side
    242.97x = 75,456.21
  5. Step 5: Solve for x
    x = 75,456.21/242.97
  6. Step 6: Final answer
    x = 310.56

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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.