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Finding the Fourth Proportional to 394.84, 592.21 and 106.30

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Solution

The fourth proportional to 394.84, 592.21 and 106.30 is: 159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.84 : 592.21 = 106.30 : x
  2. Step 2: Convert to fraction form
    394.84/592.21 = 106.30/x
  3. Step 3: Cross multiply
    394.84x = 592.21 × 106.30
  4. Step 4: Simplify right side
    394.84x = 62,951.92
  5. Step 5: Solve for x
    x = 62,951.92/394.84
  6. Step 6: Final answer
    x = 159.44

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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.