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Finding the Fourth Proportional to 266.85, 398.03 and 243.27

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Solution

The fourth proportional to 266.85, 398.03 and 243.27 is: 362.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.85 : 398.03 = 243.27 : x
  2. Step 2: Convert to fraction form
    266.85/398.03 = 243.27/x
  3. Step 3: Cross multiply
    266.85x = 398.03 × 243.27
  4. Step 4: Simplify right side
    266.85x = 96,827.54
  5. Step 5: Solve for x
    x = 96,827.54/266.85
  6. Step 6: Final answer
    x = 362.85

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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.