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Finding the Fourth Proportional to 515.48, 773.07 and 207.23

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Solution

The fourth proportional to 515.48, 773.07 and 207.23 is: 310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.48 : 773.07 = 207.23 : x
  2. Step 2: Convert to fraction form
    515.48/773.07 = 207.23/x
  3. Step 3: Cross multiply
    515.48x = 773.07 × 207.23
  4. Step 4: Simplify right side
    515.48x = 160,203.30
  5. Step 5: Solve for x
    x = 160,203.30/515.48
  6. Step 6: Final answer
    x = 310.78

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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.