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Finding the Fourth Proportional to 346.67, 519.92 and 141.29

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Solution

The fourth proportional to 346.67, 519.92 and 141.29 is: 211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.67 : 519.92 = 141.29 : x
  2. Step 2: Convert to fraction form
    346.67/519.92 = 141.29/x
  3. Step 3: Cross multiply
    346.67x = 519.92 × 141.29
  4. Step 4: Simplify right side
    346.67x = 73,456.19
  5. Step 5: Solve for x
    x = 73,456.19/346.67
  6. Step 6: Final answer
    x = 211.89

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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.