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Finding the Fourth Proportional to 194.94, 290.98 and 164.08

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Solution

The fourth proportional to 194.94, 290.98 and 164.08 is: 244.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.94 : 290.98 = 164.08 : x
  2. Step 2: Convert to fraction form
    194.94/290.98 = 164.08/x
  3. Step 3: Cross multiply
    194.94x = 290.98 × 164.08
  4. Step 4: Simplify right side
    194.94x = 47,744.00
  5. Step 5: Solve for x
    x = 47,744.00/194.94
  6. Step 6: Final answer
    x = 244.92

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