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Finding the Fourth Proportional to 378.22, 521.97 and 230.86

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Solution

The fourth proportional to 378.22, 521.97 and 230.86 is: 318.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.22 : 521.97 = 230.86 : x
  2. Step 2: Convert to fraction form
    378.22/521.97 = 230.86/x
  3. Step 3: Cross multiply
    378.22x = 521.97 × 230.86
  4. Step 4: Simplify right side
    378.22x = 120,501.99
  5. Step 5: Solve for x
    x = 120,501.99/378.22
  6. Step 6: Final answer
    x = 318.60

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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.