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Finding the Fourth Proportional to 517.03, 775.36 and 208.80

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Solution

The fourth proportional to 517.03, 775.36 and 208.80 is: 313.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.03 : 775.36 = 208.80 : x
  2. Step 2: Convert to fraction form
    517.03/775.36 = 208.80/x
  3. Step 3: Cross multiply
    517.03x = 775.36 × 208.80
  4. Step 4: Simplify right side
    517.03x = 161,894.12
  5. Step 5: Solve for x
    x = 161,894.12/517.03
  6. Step 6: Final answer
    x = 313.12

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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.