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Finding the Fourth Proportional to 201.16, 301.74 and 109.72

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Solution

The fourth proportional to 201.16, 301.74 and 109.72 is: 164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.16 : 301.74 = 109.72 : x
  2. Step 2: Convert to fraction form
    201.16/301.74 = 109.72/x
  3. Step 3: Cross multiply
    201.16x = 301.74 × 109.72
  4. Step 4: Simplify right side
    201.16x = 33,106.91
  5. Step 5: Solve for x
    x = 33,106.91/201.16
  6. Step 6: Final answer
    x = 164.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.