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Finding the Fourth Proportional to 161.16, 222.36 and 93.84

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Solution

The fourth proportional to 161.16, 222.36 and 93.84 is: 129.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.16 : 222.36 = 93.84 : x
  2. Step 2: Convert to fraction form
    161.16/222.36 = 93.84/x
  3. Step 3: Cross multiply
    161.16x = 222.36 × 93.84
  4. Step 4: Simplify right side
    161.16x = 20,866.26
  5. Step 5: Solve for x
    x = 20,866.26/161.16
  6. Step 6: Final answer
    x = 129.48

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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.