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Finding the Fourth Proportional to 117.47, 163.23 and 116.21

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Solution

The fourth proportional to 117.47, 163.23 and 116.21 is: 161.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.47 : 163.23 = 116.21 : x
  2. Step 2: Convert to fraction form
    117.47/163.23 = 116.21/x
  3. Step 3: Cross multiply
    117.47x = 163.23 × 116.21
  4. Step 4: Simplify right side
    117.47x = 18,968.14
  5. Step 5: Solve for x
    x = 18,968.14/117.47
  6. Step 6: Final answer
    x = 161.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.