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Finding the Fourth Proportional to 163.49, 225.60 and 98.00

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Solution

The fourth proportional to 163.49, 225.60 and 98.00 is: 135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.49 : 225.60 = 98.00 : x
  2. Step 2: Convert to fraction form
    163.49/225.60 = 98.00/x
  3. Step 3: Cross multiply
    163.49x = 225.60 × 98.00
  4. Step 4: Simplify right side
    163.49x = 22,107.67
  5. Step 5: Solve for x
    x = 22,107.67/163.49
  6. Step 6: Final answer
    x = 135.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.