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Finding the Fourth Proportional to 344.38, 513.92 and 298.66

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Solution

The fourth proportional to 344.38, 513.92 and 298.66 is: 445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.38 : 513.92 = 298.66 : x
  2. Step 2: Convert to fraction form
    344.38/513.92 = 298.66/x
  3. Step 3: Cross multiply
    344.38x = 513.92 × 298.66
  4. Step 4: Simplify right side
    344.38x = 153,487.35
  5. Step 5: Solve for x
    x = 153,487.35/344.38
  6. Step 6: Final answer
    x = 445.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.