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Finding the Fourth Proportional to 517.16, 775.99 and 209.23

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Solution

The fourth proportional to 517.16, 775.99 and 209.23 is: 313.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.16 : 775.99 = 209.23 : x
  2. Step 2: Convert to fraction form
    517.16/775.99 = 209.23/x
  3. Step 3: Cross multiply
    517.16x = 775.99 × 209.23
  4. Step 4: Simplify right side
    517.16x = 162,360.39
  5. Step 5: Solve for x
    x = 162,360.39/517.16
  6. Step 6: Final answer
    x = 313.95

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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.