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Finding the Fourth Proportional to 165.40, 248.00 and 73.97

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Solution

The fourth proportional to 165.40, 248.00 and 73.97 is: 110.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.40 : 248.00 = 73.97 : x
  2. Step 2: Convert to fraction form
    165.40/248.00 = 73.97/x
  3. Step 3: Cross multiply
    165.40x = 248.00 × 73.97
  4. Step 4: Simplify right side
    165.40x = 18,343.88
  5. Step 5: Solve for x
    x = 18,343.88/165.40
  6. Step 6: Final answer
    x = 110.91

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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.