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Finding the Fourth Proportional to 165.55, 247.97 and 133.51

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Solution

The fourth proportional to 165.55, 247.97 and 133.51 is: 199.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.55 : 247.97 = 133.51 : x
  2. Step 2: Convert to fraction form
    165.55/247.97 = 133.51/x
  3. Step 3: Cross multiply
    165.55x = 247.97 × 133.51
  4. Step 4: Simplify right side
    165.55x = 33,105.81
  5. Step 5: Solve for x
    x = 33,105.81/165.55
  6. Step 6: Final answer
    x = 199.97

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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.