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Finding the Fourth Proportional to 165.40, 247.86 and 93.28

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Solution

The fourth proportional to 165.40, 247.86 and 93.28 is: 139.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.40 : 247.86 = 93.28 : x
  2. Step 2: Convert to fraction form
    165.40/247.86 = 93.28/x
  3. Step 3: Cross multiply
    165.40x = 247.86 × 93.28
  4. Step 4: Simplify right side
    165.40x = 23,120.38
  5. Step 5: Solve for x
    x = 23,120.38/165.40
  6. Step 6: Final answer
    x = 139.78

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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.