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Finding the Fourth Proportional to 205.97, 280.62 and 201.51

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Solution

The fourth proportional to 205.97, 280.62 and 201.51 is: 274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.97 : 280.62 = 201.51 : x
  2. Step 2: Convert to fraction form
    205.97/280.62 = 201.51/x
  3. Step 3: Cross multiply
    205.97x = 280.62 × 201.51
  4. Step 4: Simplify right side
    205.97x = 56,547.74
  5. Step 5: Solve for x
    x = 56,547.74/205.97
  6. Step 6: Final answer
    x = 274.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.