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Finding the Fourth Proportional to 206.58, 308.12 and 174.30

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Solution

The fourth proportional to 206.58, 308.12 and 174.30 is: 259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.58 : 308.12 = 174.30 : x
  2. Step 2: Convert to fraction form
    206.58/308.12 = 174.30/x
  3. Step 3: Cross multiply
    206.58x = 308.12 × 174.30
  4. Step 4: Simplify right side
    206.58x = 53,705.32
  5. Step 5: Solve for x
    x = 53,705.32/206.58
  6. Step 6: Final answer
    x = 259.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.