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Finding the Fourth Proportional to 253.75, 379.96 and 172.21

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Solution

The fourth proportional to 253.75, 379.96 and 172.21 is: 257.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.75 : 379.96 = 172.21 : x
  2. Step 2: Convert to fraction form
    253.75/379.96 = 172.21/x
  3. Step 3: Cross multiply
    253.75x = 379.96 × 172.21
  4. Step 4: Simplify right side
    253.75x = 65,432.91
  5. Step 5: Solve for x
    x = 65,432.91/253.75
  6. Step 6: Final answer
    x = 257.86

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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.