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Finding the Fourth Proportional to 266.96, 398.23 and 223.92

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Solution

The fourth proportional to 266.96, 398.23 and 223.92 is: 334.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.96 : 398.23 = 223.92 : x
  2. Step 2: Convert to fraction form
    266.96/398.23 = 223.92/x
  3. Step 3: Cross multiply
    266.96x = 398.23 × 223.92
  4. Step 4: Simplify right side
    266.96x = 89,171.10
  5. Step 5: Solve for x
    x = 89,171.10/266.96
  6. Step 6: Final answer
    x = 334.02

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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.