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Finding the Fourth Proportional to 149.87, 225.02 and 95.27

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Solution

The fourth proportional to 149.87, 225.02 and 95.27 is: 143.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.87 : 225.02 = 95.27 : x
  2. Step 2: Convert to fraction form
    149.87/225.02 = 95.27/x
  3. Step 3: Cross multiply
    149.87x = 225.02 × 95.27
  4. Step 4: Simplify right side
    149.87x = 21,436.77
  5. Step 5: Solve for x
    x = 21,436.77/149.87
  6. Step 6: Final answer
    x = 143.03

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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.