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Finding the Fourth Proportional to 288.12, 398.08 and 201.18

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Solution

The fourth proportional to 288.12, 398.08 and 201.18 is: 277.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.12 : 398.08 = 201.18 : x
  2. Step 2: Convert to fraction form
    288.12/398.08 = 201.18/x
  3. Step 3: Cross multiply
    288.12x = 398.08 × 201.18
  4. Step 4: Simplify right side
    288.12x = 80,085.73
  5. Step 5: Solve for x
    x = 80,085.73/288.12
  6. Step 6: Final answer
    x = 277.96

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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.