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Finding the Fourth Proportional to 288.58, 398.18 and 199.92

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Solution

The fourth proportional to 288.58, 398.18 and 199.92 is: 275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.58 : 398.18 = 199.92 : x
  2. Step 2: Convert to fraction form
    288.58/398.18 = 199.92/x
  3. Step 3: Cross multiply
    288.58x = 398.18 × 199.92
  4. Step 4: Simplify right side
    288.58x = 79,604.15
  5. Step 5: Solve for x
    x = 79,604.15/288.58
  6. Step 6: Final answer
    x = 275.85

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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.