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Finding the Fourth Proportional to 213.57, 294.72 and 126.24

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Solution

The fourth proportional to 213.57, 294.72 and 126.24 is: 174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.57 : 294.72 = 126.24 : x
  2. Step 2: Convert to fraction form
    213.57/294.72 = 126.24/x
  3. Step 3: Cross multiply
    213.57x = 294.72 × 126.24
  4. Step 4: Simplify right side
    213.57x = 37,204.82
  5. Step 5: Solve for x
    x = 37,204.82/213.57
  6. Step 6: Final answer
    x = 174.21

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