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Finding the Fourth Proportional to 381.75, 572.61 and 107.81

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Solution

The fourth proportional to 381.75, 572.61 and 107.81 is: 161.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.75 : 572.61 = 107.81 : x
  2. Step 2: Convert to fraction form
    381.75/572.61 = 107.81/x
  3. Step 3: Cross multiply
    381.75x = 572.61 × 107.81
  4. Step 4: Simplify right side
    381.75x = 61,730.40
  5. Step 5: Solve for x
    x = 61,730.40/381.75
  6. Step 6: Final answer
    x = 161.70

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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.