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Finding the Fourth Proportional to 419.09, 578.18 and 263.75

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Solution

The fourth proportional to 419.09, 578.18 and 263.75 is: 363.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.09 : 578.18 = 263.75 : x
  2. Step 2: Convert to fraction form
    419.09/578.18 = 263.75/x
  3. Step 3: Cross multiply
    419.09x = 578.18 × 263.75
  4. Step 4: Simplify right side
    419.09x = 152,493.66
  5. Step 5: Solve for x
    x = 152,493.66/419.09
  6. Step 6: Final answer
    x = 363.87

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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.