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Finding the Fourth Proportional to 165.57, 248.19 and 68.04

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Solution

The fourth proportional to 165.57, 248.19 and 68.04 is: 101.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.57 : 248.19 = 68.04 : x
  2. Step 2: Convert to fraction form
    165.57/248.19 = 68.04/x
  3. Step 3: Cross multiply
    165.57x = 248.19 × 68.04
  4. Step 4: Simplify right side
    165.57x = 16,886.85
  5. Step 5: Solve for x
    x = 16,886.85/165.57
  6. Step 6: Final answer
    x = 101.99

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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.