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Finding the Fourth Proportional to 181.66, 250.64 and 111.74

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Solution

The fourth proportional to 181.66, 250.64 and 111.74 is: 154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.66 : 250.64 = 111.74 : x
  2. Step 2: Convert to fraction form
    181.66/250.64 = 111.74/x
  3. Step 3: Cross multiply
    181.66x = 250.64 × 111.74
  4. Step 4: Simplify right side
    181.66x = 28,005.95
  5. Step 5: Solve for x
    x = 28,005.95/181.66
  6. Step 6: Final answer
    x = 154.17

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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.