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Finding the Fourth Proportional to 165.78, 249.48 and 138.60

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Solution

The fourth proportional to 165.78, 249.48 and 138.60 is: 208.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.78 : 249.48 = 138.60 : x
  2. Step 2: Convert to fraction form
    165.78/249.48 = 138.60/x
  3. Step 3: Cross multiply
    165.78x = 249.48 × 138.60
  4. Step 4: Simplify right side
    165.78x = 34,577.93
  5. Step 5: Solve for x
    x = 34,577.93/165.78
  6. Step 6: Final answer
    x = 208.58

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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.