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Finding the Fourth Proportional to 194.78, 290.48 and 184.01

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Solution

The fourth proportional to 194.78, 290.48 and 184.01 is: 274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.78 : 290.48 = 184.01 : x
  2. Step 2: Convert to fraction form
    194.78/290.48 = 184.01/x
  3. Step 3: Cross multiply
    194.78x = 290.48 × 184.01
  4. Step 4: Simplify right side
    194.78x = 53,448.85
  5. Step 5: Solve for x
    x = 53,448.85/194.78
  6. Step 6: Final answer
    x = 274.40

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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.