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Finding the Fourth Proportional to 422.53, 583.18 and 274.90

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Solution

The fourth proportional to 422.53, 583.18 and 274.90 is: 379.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.53 : 583.18 = 274.90 : x
  2. Step 2: Convert to fraction form
    422.53/583.18 = 274.90/x
  3. Step 3: Cross multiply
    422.53x = 583.18 × 274.90
  4. Step 4: Simplify right side
    422.53x = 160,318.33
  5. Step 5: Solve for x
    x = 160,318.33/422.53
  6. Step 6: Final answer
    x = 379.43

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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.