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Finding the Fourth Proportional to 142.90, 213.00 and 131.96

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Solution

The fourth proportional to 142.90, 213.00 and 131.96 is: 196.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.90 : 213.00 = 131.96 : x
  2. Step 2: Convert to fraction form
    142.90/213.00 = 131.96/x
  3. Step 3: Cross multiply
    142.90x = 213.00 × 131.96
  4. Step 4: Simplify right side
    142.90x = 28,107.52
  5. Step 5: Solve for x
    x = 28,107.52/142.90
  6. Step 6: Final answer
    x = 196.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.