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Finding the Fourth Proportional to 290.74, 401.38 and 184.43

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Solution

The fourth proportional to 290.74, 401.38 and 184.43 is: 254.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.74 : 401.38 = 184.43 : x
  2. Step 2: Convert to fraction form
    290.74/401.38 = 184.43/x
  3. Step 3: Cross multiply
    290.74x = 401.38 × 184.43
  4. Step 4: Simplify right side
    290.74x = 74,024.05
  5. Step 5: Solve for x
    x = 74,024.05/290.74
  6. Step 6: Final answer
    x = 254.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.