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Finding the Fourth Proportional to 422.10, 582.51 and 235.64

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Solution

The fourth proportional to 422.10, 582.51 and 235.64 is: 325.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.10 : 582.51 = 235.64 : x
  2. Step 2: Convert to fraction form
    422.10/582.51 = 235.64/x
  3. Step 3: Cross multiply
    422.10x = 582.51 × 235.64
  4. Step 4: Simplify right side
    422.10x = 137,262.66
  5. Step 5: Solve for x
    x = 137,262.66/422.10
  6. Step 6: Final answer
    x = 325.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.