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Finding the Fourth Proportional to 164.92, 247.35 and 78.23

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Solution

The fourth proportional to 164.92, 247.35 and 78.23 is: 117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.92 : 247.35 = 78.23 : x
  2. Step 2: Convert to fraction form
    164.92/247.35 = 78.23/x
  3. Step 3: Cross multiply
    164.92x = 247.35 × 78.23
  4. Step 4: Simplify right side
    164.92x = 19,348.95
  5. Step 5: Solve for x
    x = 19,348.95/164.92
  6. Step 6: Final answer
    x = 117.33

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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.