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Finding the Fourth Proportional to 342.28, 512.94 and 171.40

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Solution

The fourth proportional to 342.28, 512.94 and 171.40 is: 256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.28 : 512.94 = 171.40 : x
  2. Step 2: Convert to fraction form
    342.28/512.94 = 171.40/x
  3. Step 3: Cross multiply
    342.28x = 512.94 × 171.40
  4. Step 4: Simplify right side
    342.28x = 87,917.92
  5. Step 5: Solve for x
    x = 87,917.92/342.28
  6. Step 6: Final answer
    x = 256.86

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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.