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Finding the Fourth Proportional to 205.29, 305.31 and 201.18

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Solution

The fourth proportional to 205.29, 305.31 and 201.18 is: 299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.29 : 305.31 = 201.18 : x
  2. Step 2: Convert to fraction form
    205.29/305.31 = 201.18/x
  3. Step 3: Cross multiply
    205.29x = 305.31 × 201.18
  4. Step 4: Simplify right side
    205.29x = 61,422.27
  5. Step 5: Solve for x
    x = 61,422.27/205.29
  6. Step 6: Final answer
    x = 299.20

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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.