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Finding the Fourth Proportional to 172.26, 256.50 and 167.22

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Solution

The fourth proportional to 172.26, 256.50 and 167.22 is: 249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.26 : 256.50 = 167.22 : x
  2. Step 2: Convert to fraction form
    172.26/256.50 = 167.22/x
  3. Step 3: Cross multiply
    172.26x = 256.50 × 167.22
  4. Step 4: Simplify right side
    172.26x = 42,891.93
  5. Step 5: Solve for x
    x = 42,891.93/172.26
  6. Step 6: Final answer
    x = 249.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.