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Finding the Fourth Proportional to 116.22, 161.07 and 114.06

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Solution

The fourth proportional to 116.22, 161.07 and 114.06 is: 158.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.22 : 161.07 = 114.06 : x
  2. Step 2: Convert to fraction form
    116.22/161.07 = 114.06/x
  3. Step 3: Cross multiply
    116.22x = 161.07 × 114.06
  4. Step 4: Simplify right side
    116.22x = 18,371.64
  5. Step 5: Solve for x
    x = 18,371.64/116.22
  6. Step 6: Final answer
    x = 158.08

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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.