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Finding the Fourth Proportional to 150.93, 227.43 and 139.14

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Solution

The fourth proportional to 150.93, 227.43 and 139.14 is: 209.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.93 : 227.43 = 139.14 : x
  2. Step 2: Convert to fraction form
    150.93/227.43 = 139.14/x
  3. Step 3: Cross multiply
    150.93x = 227.43 × 139.14
  4. Step 4: Simplify right side
    150.93x = 31,644.61
  5. Step 5: Solve for x
    x = 31,644.61/150.93
  6. Step 6: Final answer
    x = 209.66

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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.