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Finding the Fourth Proportional to 302.85, 418.23 and 209.84

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Solution

The fourth proportional to 302.85, 418.23 and 209.84 is: 289.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.85 : 418.23 = 209.84 : x
  2. Step 2: Convert to fraction form
    302.85/418.23 = 209.84/x
  3. Step 3: Cross multiply
    302.85x = 418.23 × 209.84
  4. Step 4: Simplify right side
    302.85x = 87,759.29
  5. Step 5: Solve for x
    x = 87,759.29/302.85
  6. Step 6: Final answer
    x = 289.78

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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.