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Finding the Fourth Proportional to 164.68, 247.07 and 83.50

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Solution

The fourth proportional to 164.68, 247.07 and 83.50 is: 125.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.68 : 247.07 = 83.50 : x
  2. Step 2: Convert to fraction form
    164.68/247.07 = 83.50/x
  3. Step 3: Cross multiply
    164.68x = 247.07 × 83.50
  4. Step 4: Simplify right side
    164.68x = 20,629.94
  5. Step 5: Solve for x
    x = 20,629.94/164.68
  6. Step 6: Final answer
    x = 125.27

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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.