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Finding the Fourth Proportional to 161.46, 224.36 and 159.80

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Solution

The fourth proportional to 161.46, 224.36 and 159.80 is: 222.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.46 : 224.36 = 159.80 : x
  2. Step 2: Convert to fraction form
    161.46/224.36 = 159.80/x
  3. Step 3: Cross multiply
    161.46x = 224.36 × 159.80
  4. Step 4: Simplify right side
    161.46x = 35,852.31
  5. Step 5: Solve for x
    x = 35,852.31/161.46
  6. Step 6: Final answer
    x = 222.05

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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.