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Finding the Fourth Proportional to 163.72, 244.45 and 162.52

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Solution

The fourth proportional to 163.72, 244.45 and 162.52 is: 242.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.72 : 244.45 = 162.52 : x
  2. Step 2: Convert to fraction form
    163.72/244.45 = 162.52/x
  3. Step 3: Cross multiply
    163.72x = 244.45 × 162.52
  4. Step 4: Simplify right side
    163.72x = 39,728.01
  5. Step 5: Solve for x
    x = 39,728.01/163.72
  6. Step 6: Final answer
    x = 242.66

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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.