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Finding the Fourth Proportional to 164.98, 247.35 and 83.78

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Solution

The fourth proportional to 164.98, 247.35 and 83.78 is: 125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.98 : 247.35 = 83.78 : x
  2. Step 2: Convert to fraction form
    164.98/247.35 = 83.78/x
  3. Step 3: Cross multiply
    164.98x = 247.35 × 83.78
  4. Step 4: Simplify right side
    164.98x = 20,722.98
  5. Step 5: Solve for x
    x = 20,722.98/164.98
  6. Step 6: Final answer
    x = 125.61

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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.