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Finding the Fourth Proportional to 201.36, 302.08 and 105.20

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Solution

The fourth proportional to 201.36, 302.08 and 105.20 is: 157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.36 : 302.08 = 105.20 : x
  2. Step 2: Convert to fraction form
    201.36/302.08 = 105.20/x
  3. Step 3: Cross multiply
    201.36x = 302.08 × 105.20
  4. Step 4: Simplify right side
    201.36x = 31,778.82
  5. Step 5: Solve for x
    x = 31,778.82/201.36
  6. Step 6: Final answer
    x = 157.82

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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.