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Finding the Fourth Proportional to 289.09, 398.82 and 201.61

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Solution

The fourth proportional to 289.09, 398.82 and 201.61 is: 278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.09 : 398.82 = 201.61 : x
  2. Step 2: Convert to fraction form
    289.09/398.82 = 201.61/x
  3. Step 3: Cross multiply
    289.09x = 398.82 × 201.61
  4. Step 4: Simplify right side
    289.09x = 80,406.10
  5. Step 5: Solve for x
    x = 80,406.10/289.09
  6. Step 6: Final answer
    x = 278.14

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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.