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Finding the Fourth Proportional to 161.36, 224.24 and 159.32

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Solution

The fourth proportional to 161.36, 224.24 and 159.32 is: 221.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.36 : 224.24 = 159.32 : x
  2. Step 2: Convert to fraction form
    161.36/224.24 = 159.32/x
  3. Step 3: Cross multiply
    161.36x = 224.24 × 159.32
  4. Step 4: Simplify right side
    161.36x = 35,725.92
  5. Step 5: Solve for x
    x = 35,725.92/161.36
  6. Step 6: Final answer
    x = 221.41

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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.