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Finding the Fourth Proportional to 224.78, 310.01 and 141.75

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Solution

The fourth proportional to 224.78, 310.01 and 141.75 is: 195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.78 : 310.01 = 141.75 : x
  2. Step 2: Convert to fraction form
    224.78/310.01 = 141.75/x
  3. Step 3: Cross multiply
    224.78x = 310.01 × 141.75
  4. Step 4: Simplify right side
    224.78x = 43,943.21
  5. Step 5: Solve for x
    x = 43,943.21/224.78
  6. Step 6: Final answer
    x = 195.50

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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.