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Finding the Fourth Proportional to 208.85, 288.25 and 159.13

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Solution

The fourth proportional to 208.85, 288.25 and 159.13 is: 219.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.85 : 288.25 = 159.13 : x
  2. Step 2: Convert to fraction form
    208.85/288.25 = 159.13/x
  3. Step 3: Cross multiply
    208.85x = 288.25 × 159.13
  4. Step 4: Simplify right side
    208.85x = 45,867.75
  5. Step 5: Solve for x
    x = 45,867.75/208.85
  6. Step 6: Final answer
    x = 219.62

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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.