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Finding the Fourth Proportional to 201.36, 302.12 and 147.66

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Solution

The fourth proportional to 201.36, 302.12 and 147.66 is: 221.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.36 : 302.12 = 147.66 : x
  2. Step 2: Convert to fraction form
    201.36/302.12 = 147.66/x
  3. Step 3: Cross multiply
    201.36x = 302.12 × 147.66
  4. Step 4: Simplify right side
    201.36x = 44,611.04
  5. Step 5: Solve for x
    x = 44,611.04/201.36
  6. Step 6: Final answer
    x = 221.55

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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.