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Finding the Fourth Proportional to 224.67, 310.08 and 141.85

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Solution

The fourth proportional to 224.67, 310.08 and 141.85 is: 195.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.67 : 310.08 = 141.85 : x
  2. Step 2: Convert to fraction form
    224.67/310.08 = 141.85/x
  3. Step 3: Cross multiply
    224.67x = 310.08 × 141.85
  4. Step 4: Simplify right side
    224.67x = 43,984.85
  5. Step 5: Solve for x
    x = 43,984.85/224.67
  6. Step 6: Final answer
    x = 195.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.