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Finding the Fourth Proportional to 206.09, 310.35 and 179.36

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Solution

The fourth proportional to 206.09, 310.35 and 179.36 is: 270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.09 : 310.35 = 179.36 : x
  2. Step 2: Convert to fraction form
    206.09/310.35 = 179.36/x
  3. Step 3: Cross multiply
    206.09x = 310.35 × 179.36
  4. Step 4: Simplify right side
    206.09x = 55,662.82
  5. Step 5: Solve for x
    x = 55,662.82/206.09
  6. Step 6: Final answer
    x = 270.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.