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Finding the Fourth Proportional to 443.34, 610.74 and 338.58

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Solution

The fourth proportional to 443.34, 610.74 and 338.58 is: 466.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.34 : 610.74 = 338.58 : x
  2. Step 2: Convert to fraction form
    443.34/610.74 = 338.58/x
  3. Step 3: Cross multiply
    443.34x = 610.74 × 338.58
  4. Step 4: Simplify right side
    443.34x = 206,784.35
  5. Step 5: Solve for x
    x = 206,784.35/443.34
  6. Step 6: Final answer
    x = 466.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.