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Finding the Fourth Proportional to 181.51, 272.14 and 112.95

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Solution

The fourth proportional to 181.51, 272.14 and 112.95 is: 169.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.51 : 272.14 = 112.95 : x
  2. Step 2: Convert to fraction form
    181.51/272.14 = 112.95/x
  3. Step 3: Cross multiply
    181.51x = 272.14 × 112.95
  4. Step 4: Simplify right side
    181.51x = 30,737.93
  5. Step 5: Solve for x
    x = 30,737.93/181.51
  6. Step 6: Final answer
    x = 169.35

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Why These Related Problems?

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