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Finding the Fourth Proportional to 517.20, 775.30 and 208.98

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Solution

The fourth proportional to 517.20, 775.30 and 208.98 is: 313.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.20 : 775.30 = 208.98 : x
  2. Step 2: Convert to fraction form
    517.20/775.30 = 208.98/x
  3. Step 3: Cross multiply
    517.20x = 775.30 × 208.98
  4. Step 4: Simplify right side
    517.20x = 162,022.19
  5. Step 5: Solve for x
    x = 162,022.19/517.20
  6. Step 6: Final answer
    x = 313.27

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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.