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Finding the Fourth Proportional to 149, 222.78 and 141.62

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Solution

The fourth proportional to 149, 222.78 and 141.62 is: 211.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149 : 222.78 = 141.62 : x
  2. Step 2: Convert to fraction form
    149/222.78 = 141.62/x
  3. Step 3: Cross multiply
    149x = 222.78 × 141.62
  4. Step 4: Simplify right side
    149x = 31,550.10
  5. Step 5: Solve for x
    x = 31,550.10/149
  6. Step 6: Final answer
    x = 211.75

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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.