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Finding the Fourth Proportional to 266.04, 398.48 and 219.87

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Solution

The fourth proportional to 266.04, 398.48 and 219.87 is: 329.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.04 : 398.48 = 219.87 : x
  2. Step 2: Convert to fraction form
    266.04/398.48 = 219.87/x
  3. Step 3: Cross multiply
    266.04x = 398.48 × 219.87
  4. Step 4: Simplify right side
    266.04x = 87,613.80
  5. Step 5: Solve for x
    x = 87,613.80/266.04
  6. Step 6: Final answer
    x = 329.33

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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.