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Finding the Fourth Proportional to 213.53, 294.62 and 126.20

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Solution

The fourth proportional to 213.53, 294.62 and 126.20 is: 174.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.53 : 294.62 = 126.20 : x
  2. Step 2: Convert to fraction form
    213.53/294.62 = 126.20/x
  3. Step 3: Cross multiply
    213.53x = 294.62 × 126.20
  4. Step 4: Simplify right side
    213.53x = 37,181.15
  5. Step 5: Solve for x
    x = 37,181.15/213.53
  6. Step 6: Final answer
    x = 174.13

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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.