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Finding the Fourth Proportional to 194.77, 290.56 and 189.47

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Solution

The fourth proportional to 194.77, 290.56 and 189.47 is: 282.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.77 : 290.56 = 189.47 : x
  2. Step 2: Convert to fraction form
    194.77/290.56 = 189.47/x
  3. Step 3: Cross multiply
    194.77x = 290.56 × 189.47
  4. Step 4: Simplify right side
    194.77x = 55,052.40
  5. Step 5: Solve for x
    x = 55,052.40/194.77
  6. Step 6: Final answer
    x = 282.66

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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.