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Finding the Fourth Proportional to 253.82, 379.91 and 167.22

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Solution

The fourth proportional to 253.82, 379.91 and 167.22 is: 250.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.82 : 379.91 = 167.22 : x
  2. Step 2: Convert to fraction form
    253.82/379.91 = 167.22/x
  3. Step 3: Cross multiply
    253.82x = 379.91 × 167.22
  4. Step 4: Simplify right side
    253.82x = 63,527.71
  5. Step 5: Solve for x
    x = 63,527.71/253.82
  6. Step 6: Final answer
    x = 250.29

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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.