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Finding the Fourth Proportional to 517.16, 775.78 and 209.02

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Solution

The fourth proportional to 517.16, 775.78 and 209.02 is: 313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.16 : 775.78 = 209.02 : x
  2. Step 2: Convert to fraction form
    517.16/775.78 = 209.02/x
  3. Step 3: Cross multiply
    517.16x = 775.78 × 209.02
  4. Step 4: Simplify right side
    517.16x = 162,148.61
  5. Step 5: Solve for x
    x = 162,148.61/517.16
  6. Step 6: Final answer
    x = 313.54

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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.