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Finding the Fourth Proportional to 205.38, 309.60 and 192.15

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Solution

The fourth proportional to 205.38, 309.60 and 192.15 is: 289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.38 : 309.60 = 192.15 : x
  2. Step 2: Convert to fraction form
    205.38/309.60 = 192.15/x
  3. Step 3: Cross multiply
    205.38x = 309.60 × 192.15
  4. Step 4: Simplify right side
    205.38x = 59,489.64
  5. Step 5: Solve for x
    x = 59,489.64/205.38
  6. Step 6: Final answer
    x = 289.66

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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.