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Finding the Fourth Proportional to 165.38, 247.79 and 104.58

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Solution

The fourth proportional to 165.38, 247.79 and 104.58 is: 156.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.38 : 247.79 = 104.58 : x
  2. Step 2: Convert to fraction form
    165.38/247.79 = 104.58/x
  3. Step 3: Cross multiply
    165.38x = 247.79 × 104.58
  4. Step 4: Simplify right side
    165.38x = 25,913.88
  5. Step 5: Solve for x
    x = 25,913.88/165.38
  6. Step 6: Final answer
    x = 156.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.