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Finding the Fourth Proportional to 266.92, 398.47 and 225.90

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Solution

The fourth proportional to 266.92, 398.47 and 225.90 is: 337.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.92 : 398.47 = 225.90 : x
  2. Step 2: Convert to fraction form
    266.92/398.47 = 225.90/x
  3. Step 3: Cross multiply
    266.92x = 398.47 × 225.90
  4. Step 4: Simplify right side
    266.92x = 90,014.37
  5. Step 5: Solve for x
    x = 90,014.37/266.92
  6. Step 6: Final answer
    x = 337.23

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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.