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Finding the Fourth Proportional to 163.13, 243.57 and 142.40

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Solution

The fourth proportional to 163.13, 243.57 and 142.40 is: 212.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.13 : 243.57 = 142.40 : x
  2. Step 2: Convert to fraction form
    163.13/243.57 = 142.40/x
  3. Step 3: Cross multiply
    163.13x = 243.57 × 142.40
  4. Step 4: Simplify right side
    163.13x = 34,683.15
  5. Step 5: Solve for x
    x = 34,683.15/163.13
  6. Step 6: Final answer
    x = 212.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.