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Finding the Fourth Proportional to 213.72, 296.18 and 209.62

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Solution

The fourth proportional to 213.72, 296.18 and 209.62 is: 290.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.72 : 296.18 = 209.62 : x
  2. Step 2: Convert to fraction form
    213.72/296.18 = 209.62/x
  3. Step 3: Cross multiply
    213.72x = 296.18 × 209.62
  4. Step 4: Simplify right side
    213.72x = 62,084.77
  5. Step 5: Solve for x
    x = 62,084.77/213.72
  6. Step 6: Final answer
    x = 290.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.