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Finding the Fourth Proportional to 394.32, 588.98 and 392.29

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Solution

The fourth proportional to 394.32, 588.98 and 392.29 is: 585.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.32 : 588.98 = 392.29 : x
  2. Step 2: Convert to fraction form
    394.32/588.98 = 392.29/x
  3. Step 3: Cross multiply
    394.32x = 588.98 × 392.29
  4. Step 4: Simplify right side
    394.32x = 231,050.96
  5. Step 5: Solve for x
    x = 231,050.96/394.32
  6. Step 6: Final answer
    x = 585.95

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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.