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Finding the Fourth Proportional to 201.08, 299.70 and 190.05

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Solution

The fourth proportional to 201.08, 299.70 and 190.05 is: 283.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.08 : 299.70 = 190.05 : x
  2. Step 2: Convert to fraction form
    201.08/299.70 = 190.05/x
  3. Step 3: Cross multiply
    201.08x = 299.70 × 190.05
  4. Step 4: Simplify right side
    201.08x = 56,956.86
  5. Step 5: Solve for x
    x = 56,956.86/201.08
  6. Step 6: Final answer
    x = 283.25

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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.