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Finding the Fourth Proportional to 209.48, 312.40 and 205.84

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Solution

The fourth proportional to 209.48, 312.40 and 205.84 is: 306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.48 : 312.40 = 205.84 : x
  2. Step 2: Convert to fraction form
    209.48/312.40 = 205.84/x
  3. Step 3: Cross multiply
    209.48x = 312.40 × 205.84
  4. Step 4: Simplify right side
    209.48x = 64,304.42
  5. Step 5: Solve for x
    x = 64,304.42/209.48
  6. Step 6: Final answer
    x = 306.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.