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Finding the Fourth Proportional to 165.58, 248.01 and 111.22

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Solution

The fourth proportional to 165.58, 248.01 and 111.22 is: 166.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.58 : 248.01 = 111.22 : x
  2. Step 2: Convert to fraction form
    165.58/248.01 = 111.22/x
  3. Step 3: Cross multiply
    165.58x = 248.01 × 111.22
  4. Step 4: Simplify right side
    165.58x = 27,583.67
  5. Step 5: Solve for x
    x = 27,583.67/165.58
  6. Step 6: Final answer
    x = 166.59

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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.