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Finding the Fourth Proportional to 194.33, 290.07 and 178.10

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Solution

The fourth proportional to 194.33, 290.07 and 178.10 is: 265.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.33 : 290.07 = 178.10 : x
  2. Step 2: Convert to fraction form
    194.33/290.07 = 178.10/x
  3. Step 3: Cross multiply
    194.33x = 290.07 × 178.10
  4. Step 4: Simplify right side
    194.33x = 51,659.13
  5. Step 5: Solve for x
    x = 51,659.13/194.33
  6. Step 6: Final answer
    x = 265.84

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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.