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Finding the Fourth Proportional to 205.27, 305.71 and 202.84

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Solution

The fourth proportional to 205.27, 305.71 and 202.84 is: 302.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.27 : 305.71 = 202.84 : x
  2. Step 2: Convert to fraction form
    205.27/305.71 = 202.84/x
  3. Step 3: Cross multiply
    205.27x = 305.71 × 202.84
  4. Step 4: Simplify right side
    205.27x = 62,008.95
  5. Step 5: Solve for x
    x = 62,008.95/205.27
  6. Step 6: Final answer
    x = 302.09

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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.