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Finding the Fourth Proportional to 172.22, 257.85 and 144.87

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Solution

The fourth proportional to 172.22, 257.85 and 144.87 is: 216.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.22 : 257.85 = 144.87 : x
  2. Step 2: Convert to fraction form
    172.22/257.85 = 144.87/x
  3. Step 3: Cross multiply
    172.22x = 257.85 × 144.87
  4. Step 4: Simplify right side
    172.22x = 37,354.73
  5. Step 5: Solve for x
    x = 37,354.73/172.22
  6. Step 6: Final answer
    x = 216.91

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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.