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Finding the Fourth Proportional to 142.69, 212.99 and 137.56

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Solution

The fourth proportional to 142.69, 212.99 and 137.56 is: 205.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.69 : 212.99 = 137.56 : x
  2. Step 2: Convert to fraction form
    142.69/212.99 = 137.56/x
  3. Step 3: Cross multiply
    142.69x = 212.99 × 137.56
  4. Step 4: Simplify right side
    142.69x = 29,298.90
  5. Step 5: Solve for x
    x = 29,298.90/142.69
  6. Step 6: Final answer
    x = 205.33

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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.