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Finding the Fourth Proportional to 201.42, 302.39 and 193.20

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Solution

The fourth proportional to 201.42, 302.39 and 193.20 is: 290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.42 : 302.39 = 193.20 : x
  2. Step 2: Convert to fraction form
    201.42/302.39 = 193.20/x
  3. Step 3: Cross multiply
    201.42x = 302.39 × 193.20
  4. Step 4: Simplify right side
    201.42x = 58,420.72
  5. Step 5: Solve for x
    x = 58,420.72/201.42
  6. Step 6: Final answer
    x = 290.04

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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.