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Finding the Fourth Proportional to 161.16, 222.30 and 119.11

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Solution

The fourth proportional to 161.16, 222.30 and 119.11 is: 164.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.16 : 222.30 = 119.11 : x
  2. Step 2: Convert to fraction form
    161.16/222.30 = 119.11/x
  3. Step 3: Cross multiply
    161.16x = 222.30 × 119.11
  4. Step 4: Simplify right side
    161.16x = 26,478.04
  5. Step 5: Solve for x
    x = 26,478.04/161.16
  6. Step 6: Final answer
    x = 164.29

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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.