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Finding the Fourth Proportional to 494.52, 741.42 and 234.36

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Solution

The fourth proportional to 494.52, 741.42 and 234.36 is: 351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.52 : 741.42 = 234.36 : x
  2. Step 2: Convert to fraction form
    494.52/741.42 = 234.36/x
  3. Step 3: Cross multiply
    494.52x = 741.42 × 234.36
  4. Step 4: Simplify right side
    494.52x = 173,759.19
  5. Step 5: Solve for x
    x = 173,759.19/494.52
  6. Step 6: Final answer
    x = 351.37

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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.