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Finding the Fourth Proportional to 208.80, 288.02 and 143.19

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Solution

The fourth proportional to 208.80, 288.02 and 143.19 is: 197.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.80 : 288.02 = 143.19 : x
  2. Step 2: Convert to fraction form
    208.80/288.02 = 143.19/x
  3. Step 3: Cross multiply
    208.80x = 288.02 × 143.19
  4. Step 4: Simplify right side
    208.80x = 41,241.94
  5. Step 5: Solve for x
    x = 41,241.94/208.80
  6. Step 6: Final answer
    x = 197.52

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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.