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Finding the Fourth Proportional to 142.43, 212.76 and 137.03

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Solution

The fourth proportional to 142.43, 212.76 and 137.03 is: 204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.43 : 212.76 = 137.03 : x
  2. Step 2: Convert to fraction form
    142.43/212.76 = 137.03/x
  3. Step 3: Cross multiply
    142.43x = 212.76 × 137.03
  4. Step 4: Simplify right side
    142.43x = 29,153.44
  5. Step 5: Solve for x
    x = 29,153.44/142.43
  6. Step 6: Final answer
    x = 204.69

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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.