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Finding the Fourth Proportional to 172.22, 258.04 and 165.81

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Solution

The fourth proportional to 172.22, 258.04 and 165.81 is: 248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.22 : 258.04 = 165.81 : x
  2. Step 2: Convert to fraction form
    172.22/258.04 = 165.81/x
  3. Step 3: Cross multiply
    172.22x = 258.04 × 165.81
  4. Step 4: Simplify right side
    172.22x = 42,785.61
  5. Step 5: Solve for x
    x = 42,785.61/172.22
  6. Step 6: Final answer
    x = 248.44

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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.