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Finding the Fourth Proportional to 163.77, 243.81 and 162.96

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Solution

The fourth proportional to 163.77, 243.81 and 162.96 is: 242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.77 : 243.81 = 162.96 : x
  2. Step 2: Convert to fraction form
    163.77/243.81 = 162.96/x
  3. Step 3: Cross multiply
    163.77x = 243.81 × 162.96
  4. Step 4: Simplify right side
    163.77x = 39,731.28
  5. Step 5: Solve for x
    x = 39,731.28/163.77
  6. Step 6: Final answer
    x = 242.60

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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.