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Finding the Fourth Proportional to 141.50, 213.21 and 116.38

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Solution

The fourth proportional to 141.50, 213.21 and 116.38 is: 175.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.50 : 213.21 = 116.38 : x
  2. Step 2: Convert to fraction form
    141.50/213.21 = 116.38/x
  3. Step 3: Cross multiply
    141.50x = 213.21 × 116.38
  4. Step 4: Simplify right side
    141.50x = 24,813.41
  5. Step 5: Solve for x
    x = 24,813.41/141.50
  6. Step 6: Final answer
    x = 175.36

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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.