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Finding the Fourth Proportional to 266.67, 367.97 and 167.10

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Solution

The fourth proportional to 266.67, 367.97 and 167.10 is: 230.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.67 : 367.97 = 167.10 : x
  2. Step 2: Convert to fraction form
    266.67/367.97 = 167.10/x
  3. Step 3: Cross multiply
    266.67x = 367.97 × 167.10
  4. Step 4: Simplify right side
    266.67x = 61,486.95
  5. Step 5: Solve for x
    x = 61,486.95/266.67
  6. Step 6: Final answer
    x = 230.57

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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.