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Finding the Fourth Proportional to 381.06, 571.61 and 107.13

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Solution

The fourth proportional to 381.06, 571.61 and 107.13 is: 160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.06 : 571.61 = 107.13 : x
  2. Step 2: Convert to fraction form
    381.06/571.61 = 107.13/x
  3. Step 3: Cross multiply
    381.06x = 571.61 × 107.13
  4. Step 4: Simplify right side
    381.06x = 61,236.04
  5. Step 5: Solve for x
    x = 61,236.04/381.06
  6. Step 6: Final answer
    x = 160.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.