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Finding the Fourth Proportional to 144.96, 216.36 and 132

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Solution

The fourth proportional to 144.96, 216.36 and 132 is: 197.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.96 : 216.36 = 132 : x
  2. Step 2: Convert to fraction form
    144.96/216.36 = 132/x
  3. Step 3: Cross multiply
    144.96x = 216.36 × 132
  4. Step 4: Simplify right side
    144.96x = 28,559.52
  5. Step 5: Solve for x
    x = 28,559.52/144.96
  6. Step 6: Final answer
    x = 197.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.