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Finding the Fourth Proportional to 442.11, 610.38 and 343.68

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Solution

The fourth proportional to 442.11, 610.38 and 343.68 is: 474.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.11 : 610.38 = 343.68 : x
  2. Step 2: Convert to fraction form
    442.11/610.38 = 343.68/x
  3. Step 3: Cross multiply
    442.11x = 610.38 × 343.68
  4. Step 4: Simplify right side
    442.11x = 209,775.40
  5. Step 5: Solve for x
    x = 209,775.40/442.11
  6. Step 6: Final answer
    x = 474.49

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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.