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Finding the Fourth Proportional to 419.21, 577.83 and 287.99

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Solution

The fourth proportional to 419.21, 577.83 and 287.99 is: 396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.21 : 577.83 = 287.99 : x
  2. Step 2: Convert to fraction form
    419.21/577.83 = 287.99/x
  3. Step 3: Cross multiply
    419.21x = 577.83 × 287.99
  4. Step 4: Simplify right side
    419.21x = 166,406.37
  5. Step 5: Solve for x
    x = 166,406.37/419.21
  6. Step 6: Final answer
    x = 396.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.