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Finding the Fourth Proportional to 213.29, 294.32 and 126.02

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Solution

The fourth proportional to 213.29, 294.32 and 126.02 is: 173.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.29 : 294.32 = 126.02 : x
  2. Step 2: Convert to fraction form
    213.29/294.32 = 126.02/x
  3. Step 3: Cross multiply
    213.29x = 294.32 × 126.02
  4. Step 4: Simplify right side
    213.29x = 37,090.21
  5. Step 5: Solve for x
    x = 37,090.21/213.29
  6. Step 6: Final answer
    x = 173.90

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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.