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Finding the Fourth Proportional to 194.45, 290.25 and 178.22

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Solution

The fourth proportional to 194.45, 290.25 and 178.22 is: 266.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.45 : 290.25 = 178.22 : x
  2. Step 2: Convert to fraction form
    194.45/290.25 = 178.22/x
  3. Step 3: Cross multiply
    194.45x = 290.25 × 178.22
  4. Step 4: Simplify right side
    194.45x = 51,727.18
  5. Step 5: Solve for x
    x = 51,727.18/194.45
  6. Step 6: Final answer
    x = 266.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.