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Finding the Fourth Proportional to 141.46, 213.43 and 139.84

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Solution

The fourth proportional to 141.46, 213.43 and 139.84 is: 210.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.46 : 213.43 = 139.84 : x
  2. Step 2: Convert to fraction form
    141.46/213.43 = 139.84/x
  3. Step 3: Cross multiply
    141.46x = 213.43 × 139.84
  4. Step 4: Simplify right side
    141.46x = 29,846.05
  5. Step 5: Solve for x
    x = 29,846.05/141.46
  6. Step 6: Final answer
    x = 210.99

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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.