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Finding the Fourth Proportional to 150.78, 227.31 and 140.34

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Solution

The fourth proportional to 150.78, 227.31 and 140.34 is: 211.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.78 : 227.31 = 140.34 : x
  2. Step 2: Convert to fraction form
    150.78/227.31 = 140.34/x
  3. Step 3: Cross multiply
    150.78x = 227.31 × 140.34
  4. Step 4: Simplify right side
    150.78x = 31,900.69
  5. Step 5: Solve for x
    x = 31,900.69/150.78
  6. Step 6: Final answer
    x = 211.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.