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Finding the Fourth Proportional to 209.18, 288.68 and 201.83

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Solution

The fourth proportional to 209.18, 288.68 and 201.83 is: 278.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.18 : 288.68 = 201.83 : x
  2. Step 2: Convert to fraction form
    209.18/288.68 = 201.83/x
  3. Step 3: Cross multiply
    209.18x = 288.68 × 201.83
  4. Step 4: Simplify right side
    209.18x = 58,261.83
  5. Step 5: Solve for x
    x = 58,261.83/209.18
  6. Step 6: Final answer
    x = 278.52

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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.