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Finding the Fourth Proportional to 575.39, 863.00 and 185.38

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Solution

The fourth proportional to 575.39, 863.00 and 185.38 is: 278.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.39 : 863.00 = 185.38 : x
  2. Step 2: Convert to fraction form
    575.39/863.00 = 185.38/x
  3. Step 3: Cross multiply
    575.39x = 863.00 × 185.38
  4. Step 4: Simplify right side
    575.39x = 159,977.70
  5. Step 5: Solve for x
    x = 159,977.70/575.39
  6. Step 6: Final answer
    x = 278.03

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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.