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Finding the Fourth Proportional to 290.03, 400.16 and 191.75

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Solution

The fourth proportional to 290.03, 400.16 and 191.75 is: 264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.03 : 400.16 = 191.75 : x
  2. Step 2: Convert to fraction form
    290.03/400.16 = 191.75/x
  3. Step 3: Cross multiply
    290.03x = 400.16 × 191.75
  4. Step 4: Simplify right side
    290.03x = 76,729.72
  5. Step 5: Solve for x
    x = 76,729.72/290.03
  6. Step 6: Final answer
    x = 264.56

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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.