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Finding the Fourth Proportional to 163.98, 246.89 and 123.75

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Solution

The fourth proportional to 163.98, 246.89 and 123.75 is: 186.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.98 : 246.89 = 123.75 : x
  2. Step 2: Convert to fraction form
    163.98/246.89 = 123.75/x
  3. Step 3: Cross multiply
    163.98x = 246.89 × 123.75
  4. Step 4: Simplify right side
    163.98x = 30,552.02
  5. Step 5: Solve for x
    x = 30,552.02/163.98
  6. Step 6: Final answer
    x = 186.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.