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Finding the Fourth Proportional to 163.48, 244.88 and 94.90

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Solution

The fourth proportional to 163.48, 244.88 and 94.90 is: 142.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.48 : 244.88 = 94.90 : x
  2. Step 2: Convert to fraction form
    163.48/244.88 = 94.90/x
  3. Step 3: Cross multiply
    163.48x = 244.88 × 94.90
  4. Step 4: Simplify right side
    163.48x = 23,239.11
  5. Step 5: Solve for x
    x = 23,239.11/163.48
  6. Step 6: Final answer
    x = 142.15

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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.