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Finding the Fourth Proportional to 344.42, 517.23 and 201.05

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Solution

The fourth proportional to 344.42, 517.23 and 201.05 is: 301.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.42 : 517.23 = 201.05 : x
  2. Step 2: Convert to fraction form
    344.42/517.23 = 201.05/x
  3. Step 3: Cross multiply
    344.42x = 517.23 × 201.05
  4. Step 4: Simplify right side
    344.42x = 103,986.51
  5. Step 5: Solve for x
    x = 103,986.51/344.42
  6. Step 6: Final answer
    x = 301.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.