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Finding the Fourth Proportional to 512.34, 768.71 and 266.08

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Solution

The fourth proportional to 512.34, 768.71 and 266.08 is: 399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.34 : 768.71 = 266.08 : x
  2. Step 2: Convert to fraction form
    512.34/768.71 = 266.08/x
  3. Step 3: Cross multiply
    512.34x = 768.71 × 266.08
  4. Step 4: Simplify right side
    512.34x = 204,535.10
  5. Step 5: Solve for x
    x = 204,535.10/512.34
  6. Step 6: Final answer
    x = 399.22

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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.