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Finding the Fourth Proportional to 386.77, 580.24 and 112.84

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Solution

The fourth proportional to 386.77, 580.24 and 112.84 is: 169.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.77 : 580.24 = 112.84 : x
  2. Step 2: Convert to fraction form
    386.77/580.24 = 112.84/x
  3. Step 3: Cross multiply
    386.77x = 580.24 × 112.84
  4. Step 4: Simplify right side
    386.77x = 65,475.92
  5. Step 5: Solve for x
    x = 65,475.92/386.77
  6. Step 6: Final answer
    x = 169.29

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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.