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Finding the Fourth Proportional to 219.32, 301.34 and 209.78

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Solution

The fourth proportional to 219.32, 301.34 and 209.78 is: 288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.32 : 301.34 = 209.78 : x
  2. Step 2: Convert to fraction form
    219.32/301.34 = 209.78/x
  3. Step 3: Cross multiply
    219.32x = 301.34 × 209.78
  4. Step 4: Simplify right side
    219.32x = 63,215.11
  5. Step 5: Solve for x
    x = 63,215.11/219.32
  6. Step 6: Final answer
    x = 288.23

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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.