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Finding the Fourth Proportional to 205.42, 309.92 and 195.30

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Solution

The fourth proportional to 205.42, 309.92 and 195.30 is: 294.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.42 : 309.92 = 195.30 : x
  2. Step 2: Convert to fraction form
    205.42/309.92 = 195.30/x
  3. Step 3: Cross multiply
    205.42x = 309.92 × 195.30
  4. Step 4: Simplify right side
    205.42x = 60,527.38
  5. Step 5: Solve for x
    x = 60,527.38/205.42
  6. Step 6: Final answer
    x = 294.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.