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Finding the Fourth Proportional to 511.72, 768.28 and 265.09

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Solution

The fourth proportional to 511.72, 768.28 and 265.09 is: 398.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.72 : 768.28 = 265.09 : x
  2. Step 2: Convert to fraction form
    511.72/768.28 = 265.09/x
  3. Step 3: Cross multiply
    511.72x = 768.28 × 265.09
  4. Step 4: Simplify right side
    511.72x = 203,663.71
  5. Step 5: Solve for x
    x = 203,663.71/511.72
  6. Step 6: Final answer
    x = 398.00

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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.