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Finding the Fourth Proportional to 165.40, 248.02 and 96.95

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Solution

The fourth proportional to 165.40, 248.02 and 96.95 is: 145.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.40 : 248.02 = 96.95 : x
  2. Step 2: Convert to fraction form
    165.40/248.02 = 96.95/x
  3. Step 3: Cross multiply
    165.40x = 248.02 × 96.95
  4. Step 4: Simplify right side
    165.40x = 24,044.30
  5. Step 5: Solve for x
    x = 24,044.30/165.40
  6. Step 6: Final answer
    x = 145.37

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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.