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Finding the Fourth Proportional to 213.51, 294.71 and 126.21

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Solution

The fourth proportional to 213.51, 294.71 and 126.21 is: 174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.51 : 294.71 = 126.21 : x
  2. Step 2: Convert to fraction form
    213.51/294.71 = 126.21/x
  3. Step 3: Cross multiply
    213.51x = 294.71 × 126.21
  4. Step 4: Simplify right side
    213.51x = 37,195.35
  5. Step 5: Solve for x
    x = 37,195.35/213.51
  6. Step 6: Final answer
    x = 174.21

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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.