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Finding the Fourth Proportional to 276.14, 380.76 and 259.40

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Solution

The fourth proportional to 276.14, 380.76 and 259.40 is: 357.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.14 : 380.76 = 259.40 : x
  2. Step 2: Convert to fraction form
    276.14/380.76 = 259.40/x
  3. Step 3: Cross multiply
    276.14x = 380.76 × 259.40
  4. Step 4: Simplify right side
    276.14x = 98,769.14
  5. Step 5: Solve for x
    x = 98,769.14/276.14
  6. Step 6: Final answer
    x = 357.68

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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.