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Finding the Fourth Proportional to 224.71, 309.85 and 141.72

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Solution

The fourth proportional to 224.71, 309.85 and 141.72 is: 195.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.71 : 309.85 = 141.72 : x
  2. Step 2: Convert to fraction form
    224.71/309.85 = 141.72/x
  3. Step 3: Cross multiply
    224.71x = 309.85 × 141.72
  4. Step 4: Simplify right side
    224.71x = 43,911.94
  5. Step 5: Solve for x
    x = 43,911.94/224.71
  6. Step 6: Final answer
    x = 195.42

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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.