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Finding the Fourth Proportional to 386.44, 578.92 and 194.20

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Solution

The fourth proportional to 386.44, 578.92 and 194.20 is: 290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.44 : 578.92 = 194.20 : x
  2. Step 2: Convert to fraction form
    386.44/578.92 = 194.20/x
  3. Step 3: Cross multiply
    386.44x = 578.92 × 194.20
  4. Step 4: Simplify right side
    386.44x = 112,426.26
  5. Step 5: Solve for x
    x = 112,426.26/386.44
  6. Step 6: Final answer
    x = 290.93

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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.