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Finding the Fourth Proportional to 213.09, 294.15 and 134.47

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Solution

The fourth proportional to 213.09, 294.15 and 134.47 is: 185.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.09 : 294.15 = 134.47 : x
  2. Step 2: Convert to fraction form
    213.09/294.15 = 134.47/x
  3. Step 3: Cross multiply
    213.09x = 294.15 × 134.47
  4. Step 4: Simplify right side
    213.09x = 39,554.35
  5. Step 5: Solve for x
    x = 39,554.35/213.09
  6. Step 6: Final answer
    x = 185.62

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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.