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Finding the Fourth Proportional to 344.34, 475.17 and 211.53

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Solution

The fourth proportional to 344.34, 475.17 and 211.53 is: 291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.34 : 475.17 = 211.53 : x
  2. Step 2: Convert to fraction form
    344.34/475.17 = 211.53/x
  3. Step 3: Cross multiply
    344.34x = 475.17 × 211.53
  4. Step 4: Simplify right side
    344.34x = 100,512.71
  5. Step 5: Solve for x
    x = 100,512.71/344.34
  6. Step 6: Final answer
    x = 291.90

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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.