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Finding the Fourth Proportional to 141.71, 212.85 and 137.39

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Solution

The fourth proportional to 141.71, 212.85 and 137.39 is: 206.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.71 : 212.85 = 137.39 : x
  2. Step 2: Convert to fraction form
    141.71/212.85 = 137.39/x
  3. Step 3: Cross multiply
    141.71x = 212.85 × 137.39
  4. Step 4: Simplify right side
    141.71x = 29,242.40
  5. Step 5: Solve for x
    x = 29,242.40/141.71
  6. Step 6: Final answer
    x = 206.36

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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.