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Finding the Fourth Proportional to 276.01, 414.15 and 223.90

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Solution

The fourth proportional to 276.01, 414.15 and 223.90 is: 335.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.01 : 414.15 = 223.90 : x
  2. Step 2: Convert to fraction form
    276.01/414.15 = 223.90/x
  3. Step 3: Cross multiply
    276.01x = 414.15 × 223.90
  4. Step 4: Simplify right side
    276.01x = 92,728.19
  5. Step 5: Solve for x
    x = 92,728.19/276.01
  6. Step 6: Final answer
    x = 335.96

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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.