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Finding the Fourth Proportional to 344.45, 475.17 and 213.23

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Solution

The fourth proportional to 344.45, 475.17 and 213.23 is: 294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.45 : 475.17 = 213.23 : x
  2. Step 2: Convert to fraction form
    344.45/475.17 = 213.23/x
  3. Step 3: Cross multiply
    344.45x = 475.17 × 213.23
  4. Step 4: Simplify right side
    344.45x = 101,320.89
  5. Step 5: Solve for x
    x = 101,320.89/344.45
  6. Step 6: Final answer
    x = 294.15

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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.