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Finding the Fourth Proportional to 207.96, 285.46 and 191.53

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Solution

The fourth proportional to 207.96, 285.46 and 191.53 is: 262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.96 : 285.46 = 191.53 : x
  2. Step 2: Convert to fraction form
    207.96/285.46 = 191.53/x
  3. Step 3: Cross multiply
    207.96x = 285.46 × 191.53
  4. Step 4: Simplify right side
    207.96x = 54,674.15
  5. Step 5: Solve for x
    x = 54,674.15/207.96
  6. Step 6: Final answer
    x = 262.91

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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.