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Finding the Fourth Proportional to 512.31, 768.54 and 165.53

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Solution

The fourth proportional to 512.31, 768.54 and 165.53 is: 248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.31 : 768.54 = 165.53 : x
  2. Step 2: Convert to fraction form
    512.31/768.54 = 165.53/x
  3. Step 3: Cross multiply
    512.31x = 768.54 × 165.53
  4. Step 4: Simplify right side
    512.31x = 127,215.81
  5. Step 5: Solve for x
    x = 127,215.81/512.31
  6. Step 6: Final answer
    x = 248.32

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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.