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Finding the Fourth Proportional to 276.55, 416.43 and 200.05

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Solution

The fourth proportional to 276.55, 416.43 and 200.05 is: 301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.55 : 416.43 = 200.05 : x
  2. Step 2: Convert to fraction form
    276.55/416.43 = 200.05/x
  3. Step 3: Cross multiply
    276.55x = 416.43 × 200.05
  4. Step 4: Simplify right side
    276.55x = 83,305.78
  5. Step 5: Solve for x
    x = 83,305.78/276.55
  6. Step 6: Final answer
    x = 301.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.