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Finding the Fourth Proportional to 175.13, 262.89 and 141.29

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Solution

The fourth proportional to 175.13, 262.89 and 141.29 is: 212.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.13 : 262.89 = 141.29 : x
  2. Step 2: Convert to fraction form
    175.13/262.89 = 141.29/x
  3. Step 3: Cross multiply
    175.13x = 262.89 × 141.29
  4. Step 4: Simplify right side
    175.13x = 37,143.73
  5. Step 5: Solve for x
    x = 37,143.73/175.13
  6. Step 6: Final answer
    x = 212.09

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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.