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Finding the Fourth Proportional to 343.63, 518.09 and 320.14

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Solution

The fourth proportional to 343.63, 518.09 and 320.14 is: 482.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.63 : 518.09 = 320.14 : x
  2. Step 2: Convert to fraction form
    343.63/518.09 = 320.14/x
  3. Step 3: Cross multiply
    343.63x = 518.09 × 320.14
  4. Step 4: Simplify right side
    343.63x = 165,861.33
  5. Step 5: Solve for x
    x = 165,861.33/343.63
  6. Step 6: Final answer
    x = 482.67

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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.