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Finding the Fourth Proportional to 342.20, 512.74 and 213.68

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Solution

The fourth proportional to 342.20, 512.74 and 213.68 is: 320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.20 : 512.74 = 213.68 : x
  2. Step 2: Convert to fraction form
    342.20/512.74 = 213.68/x
  3. Step 3: Cross multiply
    342.20x = 512.74 × 213.68
  4. Step 4: Simplify right side
    342.20x = 109,562.28
  5. Step 5: Solve for x
    x = 109,562.28/342.20
  6. Step 6: Final answer
    x = 320.17

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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.