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Finding the Fourth Proportional to 213.39, 294.35 and 126

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Solution

The fourth proportional to 213.39, 294.35 and 126 is: 173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.39 : 294.35 = 126 : x
  2. Step 2: Convert to fraction form
    213.39/294.35 = 126/x
  3. Step 3: Cross multiply
    213.39x = 294.35 × 126
  4. Step 4: Simplify right side
    213.39x = 37,087.47
  5. Step 5: Solve for x
    x = 37,087.47/213.39
  6. Step 6: Final answer
    x = 173.80

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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.