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Finding the Fourth Proportional to 495.89, 743.88 and 171.21

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Solution

The fourth proportional to 495.89, 743.88 and 171.21 is: 256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.89 : 743.88 = 171.21 : x
  2. Step 2: Convert to fraction form
    495.89/743.88 = 171.21/x
  3. Step 3: Cross multiply
    495.89x = 743.88 × 171.21
  4. Step 4: Simplify right side
    495.89x = 127,360.31
  5. Step 5: Solve for x
    x = 127,360.31/495.89
  6. Step 6: Final answer
    x = 256.83

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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.