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Finding the Fourth Proportional to 231.82, 348.90 and 174.34

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Solution

The fourth proportional to 231.82, 348.90 and 174.34 is: 262.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.82 : 348.90 = 174.34 : x
  2. Step 2: Convert to fraction form
    231.82/348.90 = 174.34/x
  3. Step 3: Cross multiply
    231.82x = 348.90 × 174.34
  4. Step 4: Simplify right side
    231.82x = 60,826.35
  5. Step 5: Solve for x
    x = 60,826.35/231.82
  6. Step 6: Final answer
    x = 262.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.