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Finding the Fourth Proportional to 378.23, 521.97 and 212.48

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Solution

The fourth proportional to 378.23, 521.97 and 212.48 is: 293.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.23 : 521.97 = 212.48 : x
  2. Step 2: Convert to fraction form
    378.23/521.97 = 212.48/x
  3. Step 3: Cross multiply
    378.23x = 521.97 × 212.48
  4. Step 4: Simplify right side
    378.23x = 110,905.58
  5. Step 5: Solve for x
    x = 110,905.58/378.23
  6. Step 6: Final answer
    x = 293.22

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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.