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Finding the Fourth Proportional to 299.98, 416.46 and 291.07

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Solution

The fourth proportional to 299.98, 416.46 and 291.07 is: 404.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.98 : 416.46 = 291.07 : x
  2. Step 2: Convert to fraction form
    299.98/416.46 = 291.07/x
  3. Step 3: Cross multiply
    299.98x = 416.46 × 291.07
  4. Step 4: Simplify right side
    299.98x = 121,219.74
  5. Step 5: Solve for x
    x = 121,219.74/299.98
  6. Step 6: Final answer
    x = 404.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.