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Finding the Fourth Proportional to 422.15, 582.75 and 274.91

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Solution

The fourth proportional to 422.15, 582.75 and 274.91 is: 379.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.15 : 582.75 = 274.91 : x
  2. Step 2: Convert to fraction form
    422.15/582.75 = 274.91/x
  3. Step 3: Cross multiply
    422.15x = 582.75 × 274.91
  4. Step 4: Simplify right side
    422.15x = 160,200.89
  5. Step 5: Solve for x
    x = 160,200.89/422.15
  6. Step 6: Final answer
    x = 379.49

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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.