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Finding the Fourth Proportional to 391.98, 588.89 and 376.49

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Solution

The fourth proportional to 391.98, 588.89 and 376.49 is: 565.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.98 : 588.89 = 376.49 : x
  2. Step 2: Convert to fraction form
    391.98/588.89 = 376.49/x
  3. Step 3: Cross multiply
    391.98x = 588.89 × 376.49
  4. Step 4: Simplify right side
    391.98x = 221,710.79
  5. Step 5: Solve for x
    x = 221,710.79/391.98
  6. Step 6: Final answer
    x = 565.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.