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Finding the Fourth Proportional to 149.28, 222.45 and 141

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Solution

The fourth proportional to 149.28, 222.45 and 141 is: 210.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.28 : 222.45 = 141 : x
  2. Step 2: Convert to fraction form
    149.28/222.45 = 141/x
  3. Step 3: Cross multiply
    149.28x = 222.45 × 141
  4. Step 4: Simplify right side
    149.28x = 31,365.45
  5. Step 5: Solve for x
    x = 31,365.45/149.28
  6. Step 6: Final answer
    x = 210.11

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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.