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Finding the Fourth Proportional to 224.37, 309.44 and 140.31

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Solution

The fourth proportional to 224.37, 309.44 and 140.31 is: 193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.37 : 309.44 = 140.31 : x
  2. Step 2: Convert to fraction form
    224.37/309.44 = 140.31/x
  3. Step 3: Cross multiply
    224.37x = 309.44 × 140.31
  4. Step 4: Simplify right side
    224.37x = 43,416.82
  5. Step 5: Solve for x
    x = 43,416.82/224.37
  6. Step 6: Final answer
    x = 193.51

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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.