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Finding the Fourth Proportional to 181.90, 251.10 and 111.98

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Solution

The fourth proportional to 181.90, 251.10 and 111.98 is: 154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.90 : 251.10 = 111.98 : x
  2. Step 2: Convert to fraction form
    181.90/251.10 = 111.98/x
  3. Step 3: Cross multiply
    181.90x = 251.10 × 111.98
  4. Step 4: Simplify right side
    181.90x = 28,118.81
  5. Step 5: Solve for x
    x = 28,118.81/181.90
  6. Step 6: Final answer
    x = 154.59

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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.