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Finding the Fourth Proportional to 575.38, 863.42 and 250.68

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Solution

The fourth proportional to 575.38, 863.42 and 250.68 is: 376.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.38 : 863.42 = 250.68 : x
  2. Step 2: Convert to fraction form
    575.38/863.42 = 250.68/x
  3. Step 3: Cross multiply
    575.38x = 863.42 × 250.68
  4. Step 4: Simplify right side
    575.38x = 216,442.13
  5. Step 5: Solve for x
    x = 216,442.13/575.38
  6. Step 6: Final answer
    x = 376.17

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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.