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Finding the Fourth Proportional to 386.75, 580.16 and 191.95

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Solution

The fourth proportional to 386.75, 580.16 and 191.95 is: 287.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.75 : 580.16 = 191.95 : x
  2. Step 2: Convert to fraction form
    386.75/580.16 = 191.95/x
  3. Step 3: Cross multiply
    386.75x = 580.16 × 191.95
  4. Step 4: Simplify right side
    386.75x = 111,360.74
  5. Step 5: Solve for x
    x = 111,360.74/386.75
  6. Step 6: Final answer
    x = 287.94

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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.