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Finding the Fourth Proportional to 194.30, 290.03 and 170

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Solution

The fourth proportional to 194.30, 290.03 and 170 is: 253.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.30 : 290.03 = 170 : x
  2. Step 2: Convert to fraction form
    194.30/290.03 = 170/x
  3. Step 3: Cross multiply
    194.30x = 290.03 × 170
  4. Step 4: Simplify right side
    194.30x = 49,304.25
  5. Step 5: Solve for x
    x = 49,304.25/194.30
  6. Step 6: Final answer
    x = 253.75

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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.