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Finding the Fourth Proportional to 289.20, 398.94 and 201.72

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Solution

The fourth proportional to 289.20, 398.94 and 201.72 is: 278.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.20 : 398.94 = 201.72 : x
  2. Step 2: Convert to fraction form
    289.20/398.94 = 201.72/x
  3. Step 3: Cross multiply
    289.20x = 398.94 × 201.72
  4. Step 4: Simplify right side
    289.20x = 80,474.18
  5. Step 5: Solve for x
    x = 80,474.18/289.20
  6. Step 6: Final answer
    x = 278.26

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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.