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Finding the Fourth Proportional to 163.09, 224.71 and 113.95

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Solution

The fourth proportional to 163.09, 224.71 and 113.95 is: 157.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.09 : 224.71 = 113.95 : x
  2. Step 2: Convert to fraction form
    163.09/224.71 = 113.95/x
  3. Step 3: Cross multiply
    163.09x = 224.71 × 113.95
  4. Step 4: Simplify right side
    163.09x = 25,605.70
  5. Step 5: Solve for x
    x = 25,605.70/163.09
  6. Step 6: Final answer
    x = 157.00

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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.