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Finding the Fourth Proportional to 175.85, 262.31 and 172.61

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Solution

The fourth proportional to 175.85, 262.31 and 172.61 is: 257.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.85 : 262.31 = 172.61 : x
  2. Step 2: Convert to fraction form
    175.85/262.31 = 172.61/x
  3. Step 3: Cross multiply
    175.85x = 262.31 × 172.61
  4. Step 4: Simplify right side
    175.85x = 45,277.33
  5. Step 5: Solve for x
    x = 45,277.33/175.85
  6. Step 6: Final answer
    x = 257.48

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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.