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Finding the Fourth Proportional to 205.71, 309.78 and 178.98

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Solution

The fourth proportional to 205.71, 309.78 and 178.98 is: 269.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.71 : 309.78 = 178.98 : x
  2. Step 2: Convert to fraction form
    205.71/309.78 = 178.98/x
  3. Step 3: Cross multiply
    205.71x = 309.78 × 178.98
  4. Step 4: Simplify right side
    205.71x = 55,445.10
  5. Step 5: Solve for x
    x = 55,445.10/205.71
  6. Step 6: Final answer
    x = 269.53

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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.