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Finding the Fourth Proportional to 149.25, 222.30 and 141.54

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Solution

The fourth proportional to 149.25, 222.30 and 141.54 is: 210.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.25 : 222.30 = 141.54 : x
  2. Step 2: Convert to fraction form
    149.25/222.30 = 141.54/x
  3. Step 3: Cross multiply
    149.25x = 222.30 × 141.54
  4. Step 4: Simplify right side
    149.25x = 31,464.34
  5. Step 5: Solve for x
    x = 31,464.34/149.25
  6. Step 6: Final answer
    x = 210.82

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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.