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Finding the Fourth Proportional to 422.17, 582.26 and 264.67

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Solution

The fourth proportional to 422.17, 582.26 and 264.67 is: 365.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.17 : 582.26 = 264.67 : x
  2. Step 2: Convert to fraction form
    422.17/582.26 = 264.67/x
  3. Step 3: Cross multiply
    422.17x = 582.26 × 264.67
  4. Step 4: Simplify right side
    422.17x = 154,103.98
  5. Step 5: Solve for x
    x = 154,103.98/422.17
  6. Step 6: Final answer
    x = 365.03

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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.