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Finding the Fourth Proportional to 163.90, 246.74 and 141.58

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Solution

The fourth proportional to 163.90, 246.74 and 141.58 is: 213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.90 : 246.74 = 141.58 : x
  2. Step 2: Convert to fraction form
    163.90/246.74 = 141.58/x
  3. Step 3: Cross multiply
    163.90x = 246.74 × 141.58
  4. Step 4: Simplify right side
    163.90x = 34,933.45
  5. Step 5: Solve for x
    x = 34,933.45/163.90
  6. Step 6: Final answer
    x = 213.14

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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.