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Finding the Fourth Proportional to 515.96, 774.04 and 227.42

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Solution

The fourth proportional to 515.96, 774.04 and 227.42 is: 341.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.96 : 774.04 = 227.42 : x
  2. Step 2: Convert to fraction form
    515.96/774.04 = 227.42/x
  3. Step 3: Cross multiply
    515.96x = 774.04 × 227.42
  4. Step 4: Simplify right side
    515.96x = 176,032.18
  5. Step 5: Solve for x
    x = 176,032.18/515.96
  6. Step 6: Final answer
    x = 341.17

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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.