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Finding the Fourth Proportional to 161.28, 222.24 and 117.60

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Solution

The fourth proportional to 161.28, 222.24 and 117.60 is: 162.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.28 : 222.24 = 117.60 : x
  2. Step 2: Convert to fraction form
    161.28/222.24 = 117.60/x
  3. Step 3: Cross multiply
    161.28x = 222.24 × 117.60
  4. Step 4: Simplify right side
    161.28x = 26,135.42
  5. Step 5: Solve for x
    x = 26,135.42/161.28
  6. Step 6: Final answer
    x = 162.05

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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.