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Finding the Fourth Proportional to 386.94, 580.05 and 191.82

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Solution

The fourth proportional to 386.94, 580.05 and 191.82 is: 287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.94 : 580.05 = 191.82 : x
  2. Step 2: Convert to fraction form
    386.94/580.05 = 191.82/x
  3. Step 3: Cross multiply
    386.94x = 580.05 × 191.82
  4. Step 4: Simplify right side
    386.94x = 111,265.19
  5. Step 5: Solve for x
    x = 111,265.19/386.94
  6. Step 6: Final answer
    x = 287.55

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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.