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Finding the Fourth Proportional to 494.92, 741.74 and 220.72

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Solution

The fourth proportional to 494.92, 741.74 and 220.72 is: 330.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.92 : 741.74 = 220.72 : x
  2. Step 2: Convert to fraction form
    494.92/741.74 = 220.72/x
  3. Step 3: Cross multiply
    494.92x = 741.74 × 220.72
  4. Step 4: Simplify right side
    494.92x = 163,716.85
  5. Step 5: Solve for x
    x = 163,716.85/494.92
  6. Step 6: Final answer
    x = 330.79

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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.