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Finding the Fourth Proportional to 387.19, 580.42 and 192.07

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Solution

The fourth proportional to 387.19, 580.42 and 192.07 is: 287.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.19 : 580.42 = 192.07 : x
  2. Step 2: Convert to fraction form
    387.19/580.42 = 192.07/x
  3. Step 3: Cross multiply
    387.19x = 580.42 × 192.07
  4. Step 4: Simplify right side
    387.19x = 111,481.27
  5. Step 5: Solve for x
    x = 111,481.27/387.19
  6. Step 6: Final answer
    x = 287.92

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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.