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Finding the Fourth Proportional to 149.74, 224.26 and 84.64

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Solution

The fourth proportional to 149.74, 224.26 and 84.64 is: 126.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.74 : 224.26 = 84.64 : x
  2. Step 2: Convert to fraction form
    149.74/224.26 = 84.64/x
  3. Step 3: Cross multiply
    149.74x = 224.26 × 84.64
  4. Step 4: Simplify right side
    149.74x = 18,981.37
  5. Step 5: Solve for x
    x = 18,981.37/149.74
  6. Step 6: Final answer
    x = 126.76

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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.