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Finding the Fourth Proportional to 494.72, 741.36 and 311.84

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Solution

The fourth proportional to 494.72, 741.36 and 311.84 is: 467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.72 : 741.36 = 311.84 : x
  2. Step 2: Convert to fraction form
    494.72/741.36 = 311.84/x
  3. Step 3: Cross multiply
    494.72x = 741.36 × 311.84
  4. Step 4: Simplify right side
    494.72x = 231,185.70
  5. Step 5: Solve for x
    x = 231,185.70/494.72
  6. Step 6: Final answer
    x = 467.31

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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.