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Finding the Fourth Proportional to 276.16, 378.20 and 272.56

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Solution

The fourth proportional to 276.16, 378.20 and 272.56 is: 373.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.16 : 378.20 = 272.56 : x
  2. Step 2: Convert to fraction form
    276.16/378.20 = 272.56/x
  3. Step 3: Cross multiply
    276.16x = 378.20 × 272.56
  4. Step 4: Simplify right side
    276.16x = 103,082.19
  5. Step 5: Solve for x
    x = 103,082.19/276.16
  6. Step 6: Final answer
    x = 373.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.