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Finding the Fourth Proportional to 276.26, 411.50 and 275.30

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Solution

The fourth proportional to 276.26, 411.50 and 275.30 is: 410.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.26 : 411.50 = 275.30 : x
  2. Step 2: Convert to fraction form
    276.26/411.50 = 275.30/x
  3. Step 3: Cross multiply
    276.26x = 411.50 × 275.30
  4. Step 4: Simplify right side
    276.26x = 113,285.95
  5. Step 5: Solve for x
    x = 113,285.95/276.26
  6. Step 6: Final answer
    x = 410.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.