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Finding the Fourth Proportional to 344.63, 474.99 and 213.41

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Solution

The fourth proportional to 344.63, 474.99 and 213.41 is: 294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.63 : 474.99 = 213.41 : x
  2. Step 2: Convert to fraction form
    344.63/474.99 = 213.41/x
  3. Step 3: Cross multiply
    344.63x = 474.99 × 213.41
  4. Step 4: Simplify right side
    344.63x = 101,367.62
  5. Step 5: Solve for x
    x = 101,367.62/344.63
  6. Step 6: Final answer
    x = 294.13

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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.