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Finding the Fourth Proportional to 442.94, 610.71 and 344.48

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Solution

The fourth proportional to 442.94, 610.71 and 344.48 is: 474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.94 : 610.71 = 344.48 : x
  2. Step 2: Convert to fraction form
    442.94/610.71 = 344.48/x
  3. Step 3: Cross multiply
    442.94x = 610.71 × 344.48
  4. Step 4: Simplify right side
    442.94x = 210,377.38
  5. Step 5: Solve for x
    x = 210,377.38/442.94
  6. Step 6: Final answer
    x = 474.96

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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.