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Finding the Fourth Proportional to 811, 1,216.41 and 290.98

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Solution

The fourth proportional to 811, 1,216.41 and 290.98 is: 436.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    811 : 1,216.41 = 290.98 : x
  2. Step 2: Convert to fraction form
    811/1,216.41 = 290.98/x
  3. Step 3: Cross multiply
    811x = 1,216.41 × 290.98
  4. Step 4: Simplify right side
    811x = 353,950.98
  5. Step 5: Solve for x
    x = 353,950.98/811
  6. Step 6: Final answer
    x = 436.44

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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.