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Finding the Fourth Proportional to 144.56, 216.52 and 111.82

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Solution

The fourth proportional to 144.56, 216.52 and 111.82 is: 167.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.56 : 216.52 = 111.82 : x
  2. Step 2: Convert to fraction form
    144.56/216.52 = 111.82/x
  3. Step 3: Cross multiply
    144.56x = 216.52 × 111.82
  4. Step 4: Simplify right side
    144.56x = 24,211.27
  5. Step 5: Solve for x
    x = 24,211.27/144.56
  6. Step 6: Final answer
    x = 167.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.