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Finding the Fourth Proportional to 201.32, 302.06 and 105.20

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Solution

The fourth proportional to 201.32, 302.06 and 105.20 is: 157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.32 : 302.06 = 105.20 : x
  2. Step 2: Convert to fraction form
    201.32/302.06 = 105.20/x
  3. Step 3: Cross multiply
    201.32x = 302.06 × 105.20
  4. Step 4: Simplify right side
    201.32x = 31,776.71
  5. Step 5: Solve for x
    x = 31,776.71/201.32
  6. Step 6: Final answer
    x = 157.84

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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.