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Finding the Fourth Proportional to 149.09, 222.31 and 148.89

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Solution

The fourth proportional to 149.09, 222.31 and 148.89 is: 222.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.09 : 222.31 = 148.89 : x
  2. Step 2: Convert to fraction form
    149.09/222.31 = 148.89/x
  3. Step 3: Cross multiply
    149.09x = 222.31 × 148.89
  4. Step 4: Simplify right side
    149.09x = 33,099.36
  5. Step 5: Solve for x
    x = 33,099.36/149.09
  6. Step 6: Final answer
    x = 222.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.