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Finding the Fourth Proportional to 209.01, 288.56 and 143.72

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Solution

The fourth proportional to 209.01, 288.56 and 143.72 is: 198.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.01 : 288.56 = 143.72 : x
  2. Step 2: Convert to fraction form
    209.01/288.56 = 143.72/x
  3. Step 3: Cross multiply
    209.01x = 288.56 × 143.72
  4. Step 4: Simplify right side
    209.01x = 41,471.84
  5. Step 5: Solve for x
    x = 41,471.84/209.01
  6. Step 6: Final answer
    x = 198.42

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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.