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Finding the Fourth Proportional to 160.20, 222.03 and 144

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Solution

The fourth proportional to 160.20, 222.03 and 144 is: 199.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.20 : 222.03 = 144 : x
  2. Step 2: Convert to fraction form
    160.20/222.03 = 144/x
  3. Step 3: Cross multiply
    160.20x = 222.03 × 144
  4. Step 4: Simplify right side
    160.20x = 31,972.32
  5. Step 5: Solve for x
    x = 31,972.32/160.20
  6. Step 6: Final answer
    x = 199.58

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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.