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Finding the Fourth Proportional to 207.23, 285.97 and 113.97

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Solution

The fourth proportional to 207.23, 285.97 and 113.97 is: 157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.23 : 285.97 = 113.97 : x
  2. Step 2: Convert to fraction form
    207.23/285.97 = 113.97/x
  3. Step 3: Cross multiply
    207.23x = 285.97 × 113.97
  4. Step 4: Simplify right side
    207.23x = 32,592.90
  5. Step 5: Solve for x
    x = 32,592.90/207.23
  6. Step 6: Final answer
    x = 157.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.