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Finding the Fourth Proportional to 201.12, 300 and 189.84

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Solution

The fourth proportional to 201.12, 300 and 189.84 is: 283.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.12 : 300 = 189.84 : x
  2. Step 2: Convert to fraction form
    201.12/300 = 189.84/x
  3. Step 3: Cross multiply
    201.12x = 300 × 189.84
  4. Step 4: Simplify right side
    201.12x = 56,952
  5. Step 5: Solve for x
    x = 56,952/201.12
  6. Step 6: Final answer
    x = 283.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.