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Finding the Fourth Proportional to 390.25, 585.22 and 195.19

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Solution

The fourth proportional to 390.25, 585.22 and 195.19 is: 292.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.25 : 585.22 = 195.19 : x
  2. Step 2: Convert to fraction form
    390.25/585.22 = 195.19/x
  3. Step 3: Cross multiply
    390.25x = 585.22 × 195.19
  4. Step 4: Simplify right side
    390.25x = 114,229.09
  5. Step 5: Solve for x
    x = 114,229.09/390.25
  6. Step 6: Final answer
    x = 292.71

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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.