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Finding the Fourth Proportional to 342.18, 512.17 and 179.64

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Solution

The fourth proportional to 342.18, 512.17 and 179.64 is: 268.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.18 : 512.17 = 179.64 : x
  2. Step 2: Convert to fraction form
    342.18/512.17 = 179.64/x
  3. Step 3: Cross multiply
    342.18x = 512.17 × 179.64
  4. Step 4: Simplify right side
    342.18x = 92,006.22
  5. Step 5: Solve for x
    x = 92,006.22/342.18
  6. Step 6: Final answer
    x = 268.88

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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.