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Finding the Fourth Proportional to 276.42, 380.63 and 270.35

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Solution

The fourth proportional to 276.42, 380.63 and 270.35 is: 372.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.42 : 380.63 = 270.35 : x
  2. Step 2: Convert to fraction form
    276.42/380.63 = 270.35/x
  3. Step 3: Cross multiply
    276.42x = 380.63 × 270.35
  4. Step 4: Simplify right side
    276.42x = 102,900.07
  5. Step 5: Solve for x
    x = 102,900.07/276.42
  6. Step 6: Final answer
    x = 372.26

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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.