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Finding the Fourth Proportional to 494.23, 741.36 and 234.36

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Solution

The fourth proportional to 494.23, 741.36 and 234.36 is: 351.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.23 : 741.36 = 234.36 : x
  2. Step 2: Convert to fraction form
    494.23/741.36 = 234.36/x
  3. Step 3: Cross multiply
    494.23x = 741.36 × 234.36
  4. Step 4: Simplify right side
    494.23x = 173,745.13
  5. Step 5: Solve for x
    x = 173,745.13/494.23
  6. Step 6: Final answer
    x = 351.55

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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.