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Finding the Fourth Proportional to 165.35, 247.83 and 78.70

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Solution

The fourth proportional to 165.35, 247.83 and 78.70 is: 117.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.35 : 247.83 = 78.70 : x
  2. Step 2: Convert to fraction form
    165.35/247.83 = 78.70/x
  3. Step 3: Cross multiply
    165.35x = 247.83 × 78.70
  4. Step 4: Simplify right side
    165.35x = 19,504.22
  5. Step 5: Solve for x
    x = 19,504.22/165.35
  6. Step 6: Final answer
    x = 117.96

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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.