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Finding the Fourth Proportional to 299.37, 410.85 and 291.63

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Solution

The fourth proportional to 299.37, 410.85 and 291.63 is: 400.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.37 : 410.85 = 291.63 : x
  2. Step 2: Convert to fraction form
    299.37/410.85 = 291.63/x
  3. Step 3: Cross multiply
    299.37x = 410.85 × 291.63
  4. Step 4: Simplify right side
    299.37x = 119,813.44
  5. Step 5: Solve for x
    x = 119,813.44/299.37
  6. Step 6: Final answer
    x = 400.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.