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Finding the Fourth Proportional to 209.34, 285.21 and 204.89

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Solution

The fourth proportional to 209.34, 285.21 and 204.89 is: 279.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.34 : 285.21 = 204.89 : x
  2. Step 2: Convert to fraction form
    209.34/285.21 = 204.89/x
  3. Step 3: Cross multiply
    209.34x = 285.21 × 204.89
  4. Step 4: Simplify right side
    209.34x = 58,435.25
  5. Step 5: Solve for x
    x = 58,435.25/209.34
  6. Step 6: Final answer
    x = 279.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.