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Finding the Fourth Proportional to 585.38, 878.07 and 195.37

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Solution

The fourth proportional to 585.38, 878.07 and 195.37 is: 293.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.38 : 878.07 = 195.37 : x
  2. Step 2: Convert to fraction form
    585.38/878.07 = 195.37/x
  3. Step 3: Cross multiply
    585.38x = 878.07 × 195.37
  4. Step 4: Simplify right side
    585.38x = 171,548.54
  5. Step 5: Solve for x
    x = 171,548.54/585.38
  6. Step 6: Final answer
    x = 293.06

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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.