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Finding the Fourth Proportional to 208.34, 285.99 and 179.18

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Solution

The fourth proportional to 208.34, 285.99 and 179.18 is: 245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.34 : 285.99 = 179.18 : x
  2. Step 2: Convert to fraction form
    208.34/285.99 = 179.18/x
  3. Step 3: Cross multiply
    208.34x = 285.99 × 179.18
  4. Step 4: Simplify right side
    208.34x = 51,243.69
  5. Step 5: Solve for x
    x = 51,243.69/208.34
  6. Step 6: Final answer
    x = 245.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.