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Finding the Fourth Proportional to 213.53, 294.75 and 126.29

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Solution

The fourth proportional to 213.53, 294.75 and 126.29 is: 174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.53 : 294.75 = 126.29 : x
  2. Step 2: Convert to fraction form
    213.53/294.75 = 126.29/x
  3. Step 3: Cross multiply
    213.53x = 294.75 × 126.29
  4. Step 4: Simplify right side
    213.53x = 37,223.98
  5. Step 5: Solve for x
    x = 37,223.98/213.53
  6. Step 6: Final answer
    x = 174.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.