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Finding the Fourth Proportional to 287.97, 397.56 and 205.17

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Solution

The fourth proportional to 287.97, 397.56 and 205.17 is: 283.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.97 : 397.56 = 205.17 : x
  2. Step 2: Convert to fraction form
    287.97/397.56 = 205.17/x
  3. Step 3: Cross multiply
    287.97x = 397.56 × 205.17
  4. Step 4: Simplify right side
    287.97x = 81,567.39
  5. Step 5: Solve for x
    x = 81,567.39/287.97
  6. Step 6: Final answer
    x = 283.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.