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Finding the Fourth Proportional to 202.19, 302.90 and 141.09

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Solution

The fourth proportional to 202.19, 302.90 and 141.09 is: 211.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.19 : 302.90 = 141.09 : x
  2. Step 2: Convert to fraction form
    202.19/302.90 = 141.09/x
  3. Step 3: Cross multiply
    202.19x = 302.90 × 141.09
  4. Step 4: Simplify right side
    202.19x = 42,735.46
  5. Step 5: Solve for x
    x = 42,735.46/202.19
  6. Step 6: Final answer
    x = 211.37

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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.