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Finding the Fourth Proportional to 117.82, 161.63 and 116.88

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Solution

The fourth proportional to 117.82, 161.63 and 116.88 is: 160.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.82 : 161.63 = 116.88 : x
  2. Step 2: Convert to fraction form
    117.82/161.63 = 116.88/x
  3. Step 3: Cross multiply
    117.82x = 161.63 × 116.88
  4. Step 4: Simplify right side
    117.82x = 18,891.22
  5. Step 5: Solve for x
    x = 18,891.22/117.82
  6. Step 6: Final answer
    x = 160.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.