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Finding the Fourth Proportional to 205.09, 305.62 and 201.40

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Solution

The fourth proportional to 205.09, 305.62 and 201.40 is: 300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.09 : 305.62 = 201.40 : x
  2. Step 2: Convert to fraction form
    205.09/305.62 = 201.40/x
  3. Step 3: Cross multiply
    205.09x = 305.62 × 201.40
  4. Step 4: Simplify right side
    205.09x = 61,551.87
  5. Step 5: Solve for x
    x = 61,551.87/205.09
  6. Step 6: Final answer
    x = 300.12

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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.