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Finding the Fourth Proportional to 342.09, 512.76 and 133.80

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Solution

The fourth proportional to 342.09, 512.76 and 133.80 is: 200.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.09 : 512.76 = 133.80 : x
  2. Step 2: Convert to fraction form
    342.09/512.76 = 133.80/x
  3. Step 3: Cross multiply
    342.09x = 512.76 × 133.80
  4. Step 4: Simplify right side
    342.09x = 68,604.06
  5. Step 5: Solve for x
    x = 68,604.06/342.09
  6. Step 6: Final answer
    x = 200.55

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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.