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Finding the Fourth Proportional to 141.28, 213.12 and 138.08

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Solution

The fourth proportional to 141.28, 213.12 and 138.08 is: 208.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.28 : 213.12 = 138.08 : x
  2. Step 2: Convert to fraction form
    141.28/213.12 = 138.08/x
  3. Step 3: Cross multiply
    141.28x = 213.12 × 138.08
  4. Step 4: Simplify right side
    141.28x = 29,427.61
  5. Step 5: Solve for x
    x = 29,427.61/141.28
  6. Step 6: Final answer
    x = 208.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.