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Finding the Fourth Proportional to 208.01, 285.34 and 191.59

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Solution

The fourth proportional to 208.01, 285.34 and 191.59 is: 262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.01 : 285.34 = 191.59 : x
  2. Step 2: Convert to fraction form
    208.01/285.34 = 191.59/x
  3. Step 3: Cross multiply
    208.01x = 285.34 × 191.59
  4. Step 4: Simplify right side
    208.01x = 54,668.29
  5. Step 5: Solve for x
    x = 54,668.29/208.01
  6. Step 6: Final answer
    x = 262.82

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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.