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Finding the Fourth Proportional to 163.38, 246.28 and 153.98

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Solution

The fourth proportional to 163.38, 246.28 and 153.98 is: 232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.38 : 246.28 = 153.98 : x
  2. Step 2: Convert to fraction form
    163.38/246.28 = 153.98/x
  3. Step 3: Cross multiply
    163.38x = 246.28 × 153.98
  4. Step 4: Simplify right side
    163.38x = 37,920.19
  5. Step 5: Solve for x
    x = 37,920.19/163.38
  6. Step 6: Final answer
    x = 232.10

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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.