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Finding the Fourth Proportional to 299.51, 415.57 and 291

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Solution

The fourth proportional to 299.51, 415.57 and 291 is: 403.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.51 : 415.57 = 291 : x
  2. Step 2: Convert to fraction form
    299.51/415.57 = 291/x
  3. Step 3: Cross multiply
    299.51x = 415.57 × 291
  4. Step 4: Simplify right side
    299.51x = 120,930.87
  5. Step 5: Solve for x
    x = 120,930.87/299.51
  6. Step 6: Final answer
    x = 403.76

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