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Finding the Fourth Proportional to 290.02, 400.26 and 191.74

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Solution

The fourth proportional to 290.02, 400.26 and 191.74 is: 264.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.02 : 400.26 = 191.74 : x
  2. Step 2: Convert to fraction form
    290.02/400.26 = 191.74/x
  3. Step 3: Cross multiply
    290.02x = 400.26 × 191.74
  4. Step 4: Simplify right side
    290.02x = 76,745.85
  5. Step 5: Solve for x
    x = 76,745.85/290.02
  6. Step 6: Final answer
    x = 264.62

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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.