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Finding the Fourth Proportional to 442.79, 610.16 and 344.37

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Solution

The fourth proportional to 442.79, 610.16 and 344.37 is: 474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.79 : 610.16 = 344.37 : x
  2. Step 2: Convert to fraction form
    442.79/610.16 = 344.37/x
  3. Step 3: Cross multiply
    442.79x = 610.16 × 344.37
  4. Step 4: Simplify right side
    442.79x = 210,120.80
  5. Step 5: Solve for x
    x = 210,120.80/442.79
  6. Step 6: Final answer
    x = 474.54

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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.