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Finding the Fourth Proportional to 213.94, 295.09 and 140.28

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Solution

The fourth proportional to 213.94, 295.09 and 140.28 is: 193.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.94 : 295.09 = 140.28 : x
  2. Step 2: Convert to fraction form
    213.94/295.09 = 140.28/x
  3. Step 3: Cross multiply
    213.94x = 295.09 × 140.28
  4. Step 4: Simplify right side
    213.94x = 41,395.23
  5. Step 5: Solve for x
    x = 41,395.23/213.94
  6. Step 6: Final answer
    x = 193.49

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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.