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Finding the Fourth Proportional to 349.92, 486.14 and 346.75

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Solution

The fourth proportional to 349.92, 486.14 and 346.75 is: 481.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.92 : 486.14 = 346.75 : x
  2. Step 2: Convert to fraction form
    349.92/486.14 = 346.75/x
  3. Step 3: Cross multiply
    349.92x = 486.14 × 346.75
  4. Step 4: Simplify right side
    349.92x = 168,566.10
  5. Step 5: Solve for x
    x = 168,566.10/349.92
  6. Step 6: Final answer
    x = 481.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.