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Finding the Fourth Proportional to 161.76, 222.72 and 155.28

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Solution

The fourth proportional to 161.76, 222.72 and 155.28 is: 213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.76 : 222.72 = 155.28 : x
  2. Step 2: Convert to fraction form
    161.76/222.72 = 155.28/x
  3. Step 3: Cross multiply
    161.76x = 222.72 × 155.28
  4. Step 4: Simplify right side
    161.76x = 34,583.96
  5. Step 5: Solve for x
    x = 34,583.96/161.76
  6. Step 6: Final answer
    x = 213.80

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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.