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Finding the Fourth Proportional to 163.81, 245.59 and 81.49

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Solution

The fourth proportional to 163.81, 245.59 and 81.49 is: 122.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.81 : 245.59 = 81.49 : x
  2. Step 2: Convert to fraction form
    163.81/245.59 = 81.49/x
  3. Step 3: Cross multiply
    163.81x = 245.59 × 81.49
  4. Step 4: Simplify right side
    163.81x = 20,013.74
  5. Step 5: Solve for x
    x = 20,013.74/163.81
  6. Step 6: Final answer
    x = 122.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.