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Finding the Fourth Proportional to 164.97, 247.14 and 124.65

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Solution

The fourth proportional to 164.97, 247.14 and 124.65 is: 186.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.97 : 247.14 = 124.65 : x
  2. Step 2: Convert to fraction form
    164.97/247.14 = 124.65/x
  3. Step 3: Cross multiply
    164.97x = 247.14 × 124.65
  4. Step 4: Simplify right side
    164.97x = 30,806.00
  5. Step 5: Solve for x
    x = 30,806.00/164.97
  6. Step 6: Final answer
    x = 186.74

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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.