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Finding the Fourth Proportional to 344.70, 475.71 and 213.75

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Solution

The fourth proportional to 344.70, 475.71 and 213.75 is: 294.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.70 : 475.71 = 213.75 : x
  2. Step 2: Convert to fraction form
    344.70/475.71 = 213.75/x
  3. Step 3: Cross multiply
    344.70x = 475.71 × 213.75
  4. Step 4: Simplify right side
    344.70x = 101,683.01
  5. Step 5: Solve for x
    x = 101,683.01/344.70
  6. Step 6: Final answer
    x = 294.99

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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.