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Finding the Fourth Proportional to 195.94, 295.05 and 144.94

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Solution

The fourth proportional to 195.94, 295.05 and 144.94 is: 218.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.94 : 295.05 = 144.94 : x
  2. Step 2: Convert to fraction form
    195.94/295.05 = 144.94/x
  3. Step 3: Cross multiply
    195.94x = 295.05 × 144.94
  4. Step 4: Simplify right side
    195.94x = 42,763.81
  5. Step 5: Solve for x
    x = 42,763.81/195.94
  6. Step 6: Final answer
    x = 218.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.