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Finding the Fourth Proportional to 610.41, 842.16 and 344.82

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Solution

The fourth proportional to 610.41, 842.16 and 344.82 is: 475.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.41 : 842.16 = 344.82 : x
  2. Step 2: Convert to fraction form
    610.41/842.16 = 344.82/x
  3. Step 3: Cross multiply
    610.41x = 842.16 × 344.82
  4. Step 4: Simplify right side
    610.41x = 290,391.75
  5. Step 5: Solve for x
    x = 290,391.75/610.41
  6. Step 6: Final answer
    x = 475.73

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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.