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Finding the Fourth Proportional to 293.57, 439.74 and 171.46

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Solution

The fourth proportional to 293.57, 439.74 and 171.46 is: 256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.57 : 439.74 = 171.46 : x
  2. Step 2: Convert to fraction form
    293.57/439.74 = 171.46/x
  3. Step 3: Cross multiply
    293.57x = 439.74 × 171.46
  4. Step 4: Simplify right side
    293.57x = 75,396.72
  5. Step 5: Solve for x
    x = 75,396.72/293.57
  6. Step 6: Final answer
    x = 256.83

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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.