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Finding the Fourth Proportional to 163.29, 224.11 and 145.40

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Solution

The fourth proportional to 163.29, 224.11 and 145.40 is: 199.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.29 : 224.11 = 145.40 : x
  2. Step 2: Convert to fraction form
    163.29/224.11 = 145.40/x
  3. Step 3: Cross multiply
    163.29x = 224.11 × 145.40
  4. Step 4: Simplify right side
    163.29x = 32,585.59
  5. Step 5: Solve for x
    x = 32,585.59/163.29
  6. Step 6: Final answer
    x = 199.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.