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Finding the Fourth Proportional to 288, 396.16 and 276.16

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Solution

The fourth proportional to 288, 396.16 and 276.16 is: 379.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288 : 396.16 = 276.16 : x
  2. Step 2: Convert to fraction form
    288/396.16 = 276.16/x
  3. Step 3: Cross multiply
    288x = 396.16 × 276.16
  4. Step 4: Simplify right side
    288x = 109,403.55
  5. Step 5: Solve for x
    x = 109,403.55/288
  6. Step 6: Final answer
    x = 379.87

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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.