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Finding the Fourth Proportional to 132.15, 181.95 and 112.44

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Solution

The fourth proportional to 132.15, 181.95 and 112.44 is: 154.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.15 : 181.95 = 112.44 : x
  2. Step 2: Convert to fraction form
    132.15/181.95 = 112.44/x
  3. Step 3: Cross multiply
    132.15x = 181.95 × 112.44
  4. Step 4: Simplify right side
    132.15x = 20,458.46
  5. Step 5: Solve for x
    x = 20,458.46/132.15
  6. Step 6: Final answer
    x = 154.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.