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Finding the Fourth Proportional to 165.31, 247.80 and 111.08

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Solution

The fourth proportional to 165.31, 247.80 and 111.08 is: 166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.31 : 247.80 = 111.08 : x
  2. Step 2: Convert to fraction form
    165.31/247.80 = 111.08/x
  3. Step 3: Cross multiply
    165.31x = 247.80 × 111.08
  4. Step 4: Simplify right side
    165.31x = 27,525.62
  5. Step 5: Solve for x
    x = 27,525.62/165.31
  6. Step 6: Final answer
    x = 166.51

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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.