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Finding the Fourth Proportional to 165.88, 249.04 and 139.16

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Solution

The fourth proportional to 165.88, 249.04 and 139.16 is: 208.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.88 : 249.04 = 139.16 : x
  2. Step 2: Convert to fraction form
    165.88/249.04 = 139.16/x
  3. Step 3: Cross multiply
    165.88x = 249.04 × 139.16
  4. Step 4: Simplify right side
    165.88x = 34,656.41
  5. Step 5: Solve for x
    x = 34,656.41/165.88
  6. Step 6: Final answer
    x = 208.92

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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.