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Finding the Fourth Proportional to 161.30, 221.28 and 153.56

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Solution

The fourth proportional to 161.30, 221.28 and 153.56 is: 210.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.30 : 221.28 = 153.56 : x
  2. Step 2: Convert to fraction form
    161.30/221.28 = 153.56/x
  3. Step 3: Cross multiply
    161.30x = 221.28 × 153.56
  4. Step 4: Simplify right side
    161.30x = 33,978.65
  5. Step 5: Solve for x
    x = 33,978.65/161.30
  6. Step 6: Final answer
    x = 210.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.