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Finding the Fourth Proportional to 206.95, 285.59 and 113.69

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Solution

The fourth proportional to 206.95, 285.59 and 113.69 is: 156.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.95 : 285.59 = 113.69 : x
  2. Step 2: Convert to fraction form
    206.95/285.59 = 113.69/x
  3. Step 3: Cross multiply
    206.95x = 285.59 × 113.69
  4. Step 4: Simplify right side
    206.95x = 32,469.09
  5. Step 5: Solve for x
    x = 32,469.09/206.95
  6. Step 6: Final answer
    x = 156.89

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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.