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Finding the Fourth Proportional to 205.11, 308.95 and 178.02

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Solution

The fourth proportional to 205.11, 308.95 and 178.02 is: 268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.11 : 308.95 = 178.02 : x
  2. Step 2: Convert to fraction form
    205.11/308.95 = 178.02/x
  3. Step 3: Cross multiply
    205.11x = 308.95 × 178.02
  4. Step 4: Simplify right side
    205.11x = 54,998.83
  5. Step 5: Solve for x
    x = 54,998.83/205.11
  6. Step 6: Final answer
    x = 268.14

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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.