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Finding the Fourth Proportional to 163.94, 246.47 and 130.12

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Solution

The fourth proportional to 163.94, 246.47 and 130.12 is: 195.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.94 : 246.47 = 130.12 : x
  2. Step 2: Convert to fraction form
    163.94/246.47 = 130.12/x
  3. Step 3: Cross multiply
    163.94x = 246.47 × 130.12
  4. Step 4: Simplify right side
    163.94x = 32,070.68
  5. Step 5: Solve for x
    x = 32,070.68/163.94
  6. Step 6: Final answer
    x = 195.62

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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.