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Finding the Fourth Proportional to 422.56, 582.72 and 282.64

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Solution

The fourth proportional to 422.56, 582.72 and 282.64 is: 389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.56 : 582.72 = 282.64 : x
  2. Step 2: Convert to fraction form
    422.56/582.72 = 282.64/x
  3. Step 3: Cross multiply
    422.56x = 582.72 × 282.64
  4. Step 4: Simplify right side
    422.56x = 164,699.98
  5. Step 5: Solve for x
    x = 164,699.98/422.56
  6. Step 6: Final answer
    x = 389.77

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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.