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Finding the Fourth Proportional to 290.25, 435.77 and 247.19

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Solution

The fourth proportional to 290.25, 435.77 and 247.19 is: 371.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.25 : 435.77 = 247.19 : x
  2. Step 2: Convert to fraction form
    290.25/435.77 = 247.19/x
  3. Step 3: Cross multiply
    290.25x = 435.77 × 247.19
  4. Step 4: Simplify right side
    290.25x = 107,716.99
  5. Step 5: Solve for x
    x = 107,716.99/290.25
  6. Step 6: Final answer
    x = 371.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.