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Finding the Fourth Proportional to 167.91, 253.26 and 166.90

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Solution

The fourth proportional to 167.91, 253.26 and 166.90 is: 251.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.91 : 253.26 = 166.90 : x
  2. Step 2: Convert to fraction form
    167.91/253.26 = 166.90/x
  3. Step 3: Cross multiply
    167.91x = 253.26 × 166.90
  4. Step 4: Simplify right side
    167.91x = 42,266.99
  5. Step 5: Solve for x
    x = 42,266.99/167.91
  6. Step 6: Final answer
    x = 251.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.