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Finding the Fourth Proportional to 163.72, 224.71 and 145.83

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Solution

The fourth proportional to 163.72, 224.71 and 145.83 is: 200.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.72 : 224.71 = 145.83 : x
  2. Step 2: Convert to fraction form
    163.72/224.71 = 145.83/x
  3. Step 3: Cross multiply
    163.72x = 224.71 × 145.83
  4. Step 4: Simplify right side
    163.72x = 32,769.94
  5. Step 5: Solve for x
    x = 32,769.94/163.72
  6. Step 6: Final answer
    x = 200.16

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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.