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Finding the Fourth Proportional to 208.26, 287.55 and 159.30

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Solution

The fourth proportional to 208.26, 287.55 and 159.30 is: 219.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.26 : 287.55 = 159.30 : x
  2. Step 2: Convert to fraction form
    208.26/287.55 = 159.30/x
  3. Step 3: Cross multiply
    208.26x = 287.55 × 159.30
  4. Step 4: Simplify right side
    208.26x = 45,806.72
  5. Step 5: Solve for x
    x = 45,806.72/208.26
  6. Step 6: Final answer
    x = 219.95

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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.