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Finding the Fourth Proportional to 382.85, 574.20 and 126.35

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Solution

The fourth proportional to 382.85, 574.20 and 126.35 is: 189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.85 : 574.20 = 126.35 : x
  2. Step 2: Convert to fraction form
    382.85/574.20 = 126.35/x
  3. Step 3: Cross multiply
    382.85x = 574.20 × 126.35
  4. Step 4: Simplify right side
    382.85x = 72,550.17
  5. Step 5: Solve for x
    x = 72,550.17/382.85
  6. Step 6: Final answer
    x = 189.50

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Double scale
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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.