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Finding the Fourth Proportional to 208.91, 286.59 and 204.32

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Solution

The fourth proportional to 208.91, 286.59 and 204.32 is: 280.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.91 : 286.59 = 204.32 : x
  2. Step 2: Convert to fraction form
    208.91/286.59 = 204.32/x
  3. Step 3: Cross multiply
    208.91x = 286.59 × 204.32
  4. Step 4: Simplify right side
    208.91x = 58,554.64
  5. Step 5: Solve for x
    x = 58,554.64/208.91
  6. Step 6: Final answer
    x = 280.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.