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Finding the Fourth Proportional to 495.92, 744 and 171.28

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Solution

The fourth proportional to 495.92, 744 and 171.28 is: 256.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.92 : 744 = 171.28 : x
  2. Step 2: Convert to fraction form
    495.92/744 = 171.28/x
  3. Step 3: Cross multiply
    495.92x = 744 × 171.28
  4. Step 4: Simplify right side
    495.92x = 127,432.32
  5. Step 5: Solve for x
    x = 127,432.32/495.92
  6. Step 6: Final answer
    x = 256.96

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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.