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Finding the Fourth Proportional to 161.03, 222.37 and 130.12

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Solution

The fourth proportional to 161.03, 222.37 and 130.12 is: 179.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.03 : 222.37 = 130.12 : x
  2. Step 2: Convert to fraction form
    161.03/222.37 = 130.12/x
  3. Step 3: Cross multiply
    161.03x = 222.37 × 130.12
  4. Step 4: Simplify right side
    161.03x = 28,933.90
  5. Step 5: Solve for x
    x = 28,933.90/161.03
  6. Step 6: Final answer
    x = 179.68

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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.