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Finding the Fourth Proportional to 163.76, 246.47 and 154.94

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Solution

The fourth proportional to 163.76, 246.47 and 154.94 is: 233.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.76 : 246.47 = 154.94 : x
  2. Step 2: Convert to fraction form
    163.76/246.47 = 154.94/x
  3. Step 3: Cross multiply
    163.76x = 246.47 × 154.94
  4. Step 4: Simplify right side
    163.76x = 38,186.05
  5. Step 5: Solve for x
    x = 38,186.05/163.76
  6. Step 6: Final answer
    x = 233.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.