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Finding the Fourth Proportional to 575.59, 863.36 and 185.59

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Solution

The fourth proportional to 575.59, 863.36 and 185.59 is: 278.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.59 : 863.36 = 185.59 : x
  2. Step 2: Convert to fraction form
    575.59/863.36 = 185.59/x
  3. Step 3: Cross multiply
    575.59x = 863.36 × 185.59
  4. Step 4: Simplify right side
    575.59x = 160,230.98
  5. Step 5: Solve for x
    x = 160,230.98/575.59
  6. Step 6: Final answer
    x = 278.38

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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.