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Finding the Fourth Proportional to 150.99, 227.63 and 137.62

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Solution

The fourth proportional to 150.99, 227.63 and 137.62 is: 207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.99 : 227.63 = 137.62 : x
  2. Step 2: Convert to fraction form
    150.99/227.63 = 137.62/x
  3. Step 3: Cross multiply
    150.99x = 227.63 × 137.62
  4. Step 4: Simplify right side
    150.99x = 31,326.44
  5. Step 5: Solve for x
    x = 31,326.44/150.99
  6. Step 6: Final answer
    x = 207.47

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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.