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Finding the Fourth Proportional to 163.50, 246.53 and 161.34

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Solution

The fourth proportional to 163.50, 246.53 and 161.34 is: 243.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.50 : 246.53 = 161.34 : x
  2. Step 2: Convert to fraction form
    163.50/246.53 = 161.34/x
  3. Step 3: Cross multiply
    163.50x = 246.53 × 161.34
  4. Step 4: Simplify right side
    163.50x = 39,774.34
  5. Step 5: Solve for x
    x = 39,774.34/163.50
  6. Step 6: Final answer
    x = 243.27

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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.