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Finding the Fourth Proportional to 205.47, 305.73 and 201.87

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Solution

The fourth proportional to 205.47, 305.73 and 201.87 is: 300.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.47 : 305.73 = 201.87 : x
  2. Step 2: Convert to fraction form
    205.47/305.73 = 201.87/x
  3. Step 3: Cross multiply
    205.47x = 305.73 × 201.87
  4. Step 4: Simplify right side
    205.47x = 61,717.72
  5. Step 5: Solve for x
    x = 61,717.72/205.47
  6. Step 6: Final answer
    x = 300.37

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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.