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Finding the Fourth Proportional to 287.99, 396.88 and 209.17

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Solution

The fourth proportional to 287.99, 396.88 and 209.17 is: 288.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.99 : 396.88 = 209.17 : x
  2. Step 2: Convert to fraction form
    287.99/396.88 = 209.17/x
  3. Step 3: Cross multiply
    287.99x = 396.88 × 209.17
  4. Step 4: Simplify right side
    287.99x = 83,015.39
  5. Step 5: Solve for x
    x = 83,015.39/287.99
  6. Step 6: Final answer
    x = 288.26

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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.