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Finding the Fourth Proportional to 276.06, 380.07 and 257.43

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Solution

The fourth proportional to 276.06, 380.07 and 257.43 is: 354.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.06 : 380.07 = 257.43 : x
  2. Step 2: Convert to fraction form
    276.06/380.07 = 257.43/x
  3. Step 3: Cross multiply
    276.06x = 380.07 × 257.43
  4. Step 4: Simplify right side
    276.06x = 97,841.42
  5. Step 5: Solve for x
    x = 97,841.42/276.06
  6. Step 6: Final answer
    x = 354.42

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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.