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Finding the Fourth Proportional to 223.11, 307.49 and 167.72

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Solution

The fourth proportional to 223.11, 307.49 and 167.72 is: 231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.11 : 307.49 = 167.72 : x
  2. Step 2: Convert to fraction form
    223.11/307.49 = 167.72/x
  3. Step 3: Cross multiply
    223.11x = 307.49 × 167.72
  4. Step 4: Simplify right side
    223.11x = 51,569.85
  5. Step 5: Solve for x
    x = 51,569.85/223.11
  6. Step 6: Final answer
    x = 231.14

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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.