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Finding the Fourth Proportional to 344.30, 515.66 and 161.42

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Solution

The fourth proportional to 344.30, 515.66 and 161.42 is: 241.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.30 : 515.66 = 161.42 : x
  2. Step 2: Convert to fraction form
    344.30/515.66 = 161.42/x
  3. Step 3: Cross multiply
    344.30x = 515.66 × 161.42
  4. Step 4: Simplify right side
    344.30x = 83,237.84
  5. Step 5: Solve for x
    x = 83,237.84/344.30
  6. Step 6: Final answer
    x = 241.76

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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.