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Finding the Fourth Proportional to 266.59, 367.72 and 163.09

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Solution

The fourth proportional to 266.59, 367.72 and 163.09 is: 224.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.59 : 367.72 = 163.09 : x
  2. Step 2: Convert to fraction form
    266.59/367.72 = 163.09/x
  3. Step 3: Cross multiply
    266.59x = 367.72 × 163.09
  4. Step 4: Simplify right side
    266.59x = 59,971.45
  5. Step 5: Solve for x
    x = 59,971.45/266.59
  6. Step 6: Final answer
    x = 224.96

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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.