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Finding the Fourth Proportional to 213.13, 292.34 and 209.69

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Solution

The fourth proportional to 213.13, 292.34 and 209.69 is: 287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.13 : 292.34 = 209.69 : x
  2. Step 2: Convert to fraction form
    213.13/292.34 = 209.69/x
  3. Step 3: Cross multiply
    213.13x = 292.34 × 209.69
  4. Step 4: Simplify right side
    213.13x = 61,300.77
  5. Step 5: Solve for x
    x = 61,300.77/213.13
  6. Step 6: Final answer
    x = 287.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.