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Finding the Fourth Proportional to 518.14, 777.25 and 225.65

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Solution

The fourth proportional to 518.14, 777.25 and 225.65 is: 338.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.14 : 777.25 = 225.65 : x
  2. Step 2: Convert to fraction form
    518.14/777.25 = 225.65/x
  3. Step 3: Cross multiply
    518.14x = 777.25 × 225.65
  4. Step 4: Simplify right side
    518.14x = 175,381.59
  5. Step 5: Solve for x
    x = 175,381.59/518.14
  6. Step 6: Final answer
    x = 338.49

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Similar ratio
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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.