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Finding the Fourth Proportional to 517.39, 775.98 and 243.20

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Solution

The fourth proportional to 517.39, 775.98 and 243.20 is: 364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.39 : 775.98 = 243.20 : x
  2. Step 2: Convert to fraction form
    517.39/775.98 = 243.20/x
  3. Step 3: Cross multiply
    517.39x = 775.98 × 243.20
  4. Step 4: Simplify right side
    517.39x = 188,720.28
  5. Step 5: Solve for x
    x = 188,720.28/517.39
  6. Step 6: Final answer
    x = 364.76

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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.