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Finding the Fourth Proportional to 204.71, 305.78 and 186.48

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Solution

The fourth proportional to 204.71, 305.78 and 186.48 is: 278.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.71 : 305.78 = 186.48 : x
  2. Step 2: Convert to fraction form
    204.71/305.78 = 186.48/x
  3. Step 3: Cross multiply
    204.71x = 305.78 × 186.48
  4. Step 4: Simplify right side
    204.71x = 57,020.92
  5. Step 5: Solve for x
    x = 57,020.92/204.71
  6. Step 6: Final answer
    x = 278.55

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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.