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Finding the Fourth Proportional to 163.47, 244.01 and 163.05

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Solution

The fourth proportional to 163.47, 244.01 and 163.05 is: 243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.47 : 244.01 = 163.05 : x
  2. Step 2: Convert to fraction form
    163.47/244.01 = 163.05/x
  3. Step 3: Cross multiply
    163.47x = 244.01 × 163.05
  4. Step 4: Simplify right side
    163.47x = 39,785.02
  5. Step 5: Solve for x
    x = 39,785.02/163.47
  6. Step 6: Final answer
    x = 243.38

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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.