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Finding the Fourth Proportional to 394.02, 588.11 and 347.90

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Solution

The fourth proportional to 394.02, 588.11 and 347.90 is: 519.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.02 : 588.11 = 347.90 : x
  2. Step 2: Convert to fraction form
    394.02/588.11 = 347.90/x
  3. Step 3: Cross multiply
    394.02x = 588.11 × 347.90
  4. Step 4: Simplify right side
    394.02x = 204,603.47
  5. Step 5: Solve for x
    x = 204,603.47/394.02
  6. Step 6: Final answer
    x = 519.27

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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.