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Finding the Fourth Proportional to 160.80, 220.80 and 153.60

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Solution

The fourth proportional to 160.80, 220.80 and 153.60 is: 210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.80 : 220.80 = 153.60 : x
  2. Step 2: Convert to fraction form
    160.80/220.80 = 153.60/x
  3. Step 3: Cross multiply
    160.80x = 220.80 × 153.60
  4. Step 4: Simplify right side
    160.80x = 33,914.88
  5. Step 5: Solve for x
    x = 33,914.88/160.80
  6. Step 6: Final answer
    x = 210.91

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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.