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Finding the Fourth Proportional to 165, 247.59 and 67.50

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Solution

The fourth proportional to 165, 247.59 and 67.50 is: 101.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    165 : 247.59 = 67.50 : x
  2. Step 2: Convert to fraction form
    165/247.59 = 67.50/x
  3. Step 3: Cross multiply
    165x = 247.59 × 67.50
  4. Step 4: Simplify right side
    165x = 16,712.33
  5. Step 5: Solve for x
    x = 16,712.33/165
  6. Step 6: Final answer
    x = 101.29

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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.