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Finding the Fourth Proportional to 150.77, 226.26 and 140.65

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Solution

The fourth proportional to 150.77, 226.26 and 140.65 is: 211.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.77 : 226.26 = 140.65 : x
  2. Step 2: Convert to fraction form
    150.77/226.26 = 140.65/x
  3. Step 3: Cross multiply
    150.77x = 226.26 × 140.65
  4. Step 4: Simplify right side
    150.77x = 31,822.90
  5. Step 5: Solve for x
    x = 31,822.90/150.77
  6. Step 6: Final answer
    x = 211.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.