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Finding the Fourth Proportional to 149.13, 222.77 and 141.38

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Solution

The fourth proportional to 149.13, 222.77 and 141.38 is: 211.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.13 : 222.77 = 141.38 : x
  2. Step 2: Convert to fraction form
    149.13/222.77 = 141.38/x
  3. Step 3: Cross multiply
    149.13x = 222.77 × 141.38
  4. Step 4: Simplify right side
    149.13x = 31,493.40
  5. Step 5: Solve for x
    x = 31,493.40/149.13
  6. Step 6: Final answer
    x = 211.18

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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.