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Finding the Fourth Proportional to 209.49, 288.98 and 143.88

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Solution

The fourth proportional to 209.49, 288.98 and 143.88 is: 198.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.49 : 288.98 = 143.88 : x
  2. Step 2: Convert to fraction form
    209.49/288.98 = 143.88/x
  3. Step 3: Cross multiply
    209.49x = 288.98 × 143.88
  4. Step 4: Simplify right side
    209.49x = 41,577.72
  5. Step 5: Solve for x
    x = 41,577.72/209.49
  6. Step 6: Final answer
    x = 198.47

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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.