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Finding the Fourth Proportional to 160.80, 222 and 128.22

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Solution

The fourth proportional to 160.80, 222 and 128.22 is: 177.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.80 : 222 = 128.22 : x
  2. Step 2: Convert to fraction form
    160.80/222 = 128.22/x
  3. Step 3: Cross multiply
    160.80x = 222 × 128.22
  4. Step 4: Simplify right side
    160.80x = 28,464.84
  5. Step 5: Solve for x
    x = 28,464.84/160.80
  6. Step 6: Final answer
    x = 177.02

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1.5x scale

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.