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Finding the Fourth Proportional to 575.43, 863.15 and 185.43

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Solution

The fourth proportional to 575.43, 863.15 and 185.43 is: 278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.43 : 863.15 = 185.43 : x
  2. Step 2: Convert to fraction form
    575.43/863.15 = 185.43/x
  3. Step 3: Cross multiply
    575.43x = 863.15 × 185.43
  4. Step 4: Simplify right side
    575.43x = 160,052.98
  5. Step 5: Solve for x
    x = 160,052.98/575.43
  6. Step 6: Final answer
    x = 278.15

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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.