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Finding the Fourth Proportional to 342.82, 475.69 and 329.11

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Solution

The fourth proportional to 342.82, 475.69 and 329.11 is: 456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.82 : 475.69 = 329.11 : x
  2. Step 2: Convert to fraction form
    342.82/475.69 = 329.11/x
  3. Step 3: Cross multiply
    342.82x = 475.69 × 329.11
  4. Step 4: Simplify right side
    342.82x = 156,554.34
  5. Step 5: Solve for x
    x = 156,554.34/342.82
  6. Step 6: Final answer
    x = 456.67

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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.