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Finding the Fourth Proportional to 201.04, 299.14 and 190.11

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Solution

The fourth proportional to 201.04, 299.14 and 190.11 is: 282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.04 : 299.14 = 190.11 : x
  2. Step 2: Convert to fraction form
    201.04/299.14 = 190.11/x
  3. Step 3: Cross multiply
    201.04x = 299.14 × 190.11
  4. Step 4: Simplify right side
    201.04x = 56,869.51
  5. Step 5: Solve for x
    x = 56,869.51/201.04
  6. Step 6: Final answer
    x = 282.88

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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.