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Finding the Fourth Proportional to 414.50, 618.24 and 352.94

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Solution

The fourth proportional to 414.50, 618.24 and 352.94 is: 526.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.50 : 618.24 = 352.94 : x
  2. Step 2: Convert to fraction form
    414.50/618.24 = 352.94/x
  3. Step 3: Cross multiply
    414.50x = 618.24 × 352.94
  4. Step 4: Simplify right side
    414.50x = 218,198.53
  5. Step 5: Solve for x
    x = 218,198.53/414.50
  6. Step 6: Final answer
    x = 526.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.