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Finding the Fourth Proportional to 575.55, 863.28 and 142.71

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Solution

The fourth proportional to 575.55, 863.28 and 142.71 is: 214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.55 : 863.28 = 142.71 : x
  2. Step 2: Convert to fraction form
    575.55/863.28 = 142.71/x
  3. Step 3: Cross multiply
    575.55x = 863.28 × 142.71
  4. Step 4: Simplify right side
    575.55x = 123,198.69
  5. Step 5: Solve for x
    x = 123,198.69/575.55
  6. Step 6: Final answer
    x = 214.05

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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.