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Finding the Fourth Proportional to 293.96, 440.96 and 172.24

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Solution

The fourth proportional to 293.96, 440.96 and 172.24 is: 258.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.96 : 440.96 = 172.24 : x
  2. Step 2: Convert to fraction form
    293.96/440.96 = 172.24/x
  3. Step 3: Cross multiply
    293.96x = 440.96 × 172.24
  4. Step 4: Simplify right side
    293.96x = 75,950.95
  5. Step 5: Solve for x
    x = 75,950.95/293.96
  6. Step 6: Final answer
    x = 258.37

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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.