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Finding the Fourth Proportional to 150.43, 225.42 and 89.50

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Solution

The fourth proportional to 150.43, 225.42 and 89.50 is: 134.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.43 : 225.42 = 89.50 : x
  2. Step 2: Convert to fraction form
    150.43/225.42 = 89.50/x
  3. Step 3: Cross multiply
    150.43x = 225.42 × 89.50
  4. Step 4: Simplify right side
    150.43x = 20,175.09
  5. Step 5: Solve for x
    x = 20,175.09/150.43
  6. Step 6: Final answer
    x = 134.12

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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.