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Finding the Fourth Proportional to 414.12, 618.26 and 352.38

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Solution

The fourth proportional to 414.12, 618.26 and 352.38 is: 526.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.12 : 618.26 = 352.38 : x
  2. Step 2: Convert to fraction form
    414.12/618.26 = 352.38/x
  3. Step 3: Cross multiply
    414.12x = 618.26 × 352.38
  4. Step 4: Simplify right side
    414.12x = 217,862.46
  5. Step 5: Solve for x
    x = 217,862.46/414.12
  6. Step 6: Final answer
    x = 526.09

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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.