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Finding the Fourth Proportional to 394.32, 588 and 378.96

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Solution

The fourth proportional to 394.32, 588 and 378.96 is: 565.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.32 : 588 = 378.96 : x
  2. Step 2: Convert to fraction form
    394.32/588 = 378.96/x
  3. Step 3: Cross multiply
    394.32x = 588 × 378.96
  4. Step 4: Simplify right side
    394.32x = 222,828.48
  5. Step 5: Solve for x
    x = 222,828.48/394.32
  6. Step 6: Final answer
    x = 565.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.