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Finding the Fourth Proportional to 150.87, 226.44 and 81.51

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Solution

The fourth proportional to 150.87, 226.44 and 81.51 is: 122.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.87 : 226.44 = 81.51 : x
  2. Step 2: Convert to fraction form
    150.87/226.44 = 81.51/x
  3. Step 3: Cross multiply
    150.87x = 226.44 × 81.51
  4. Step 4: Simplify right side
    150.87x = 18,457.12
  5. Step 5: Solve for x
    x = 18,457.12/150.87
  6. Step 6: Final answer
    x = 122.34

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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.