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Finding the Fourth Proportional to 494.26, 741.39 and 129.05

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Solution

The fourth proportional to 494.26, 741.39 and 129.05 is: 193.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.26 : 741.39 = 129.05 : x
  2. Step 2: Convert to fraction form
    494.26/741.39 = 129.05/x
  3. Step 3: Cross multiply
    494.26x = 741.39 × 129.05
  4. Step 4: Simplify right side
    494.26x = 95,676.38
  5. Step 5: Solve for x
    x = 95,676.38/494.26
  6. Step 6: Final answer
    x = 193.58

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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.