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Finding the Fourth Proportional to 141.63, 213.68 and 137.40

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Solution

The fourth proportional to 141.63, 213.68 and 137.40 is: 207.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.63 : 213.68 = 137.40 : x
  2. Step 2: Convert to fraction form
    141.63/213.68 = 137.40/x
  3. Step 3: Cross multiply
    141.63x = 213.68 × 137.40
  4. Step 4: Simplify right side
    141.63x = 29,358.95
  5. Step 5: Solve for x
    x = 29,358.95/141.63
  6. Step 6: Final answer
    x = 207.29

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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.