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Finding the Fourth Proportional to 394.98, 588.52 and 351.87

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Solution

The fourth proportional to 394.98, 588.52 and 351.87 is: 524.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.98 : 588.52 = 351.87 : x
  2. Step 2: Convert to fraction form
    394.98/588.52 = 351.87/x
  3. Step 3: Cross multiply
    394.98x = 588.52 × 351.87
  4. Step 4: Simplify right side
    394.98x = 207,082.53
  5. Step 5: Solve for x
    x = 207,082.53/394.98
  6. Step 6: Final answer
    x = 524.29

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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.