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Finding the Fourth Proportional to 165.88, 249.08 and 111.40

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Solution

The fourth proportional to 165.88, 249.08 and 111.40 is: 167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.88 : 249.08 = 111.40 : x
  2. Step 2: Convert to fraction form
    165.88/249.08 = 111.40/x
  3. Step 3: Cross multiply
    165.88x = 249.08 × 111.40
  4. Step 4: Simplify right side
    165.88x = 27,747.51
  5. Step 5: Solve for x
    x = 27,747.51/165.88
  6. Step 6: Final answer
    x = 167.27

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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.