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Finding the Fourth Proportional to 419.04, 578.15 and 241.95

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Solution

The fourth proportional to 419.04, 578.15 and 241.95 is: 333.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.04 : 578.15 = 241.95 : x
  2. Step 2: Convert to fraction form
    419.04/578.15 = 241.95/x
  3. Step 3: Cross multiply
    419.04x = 578.15 × 241.95
  4. Step 4: Simplify right side
    419.04x = 139,886.62
  5. Step 5: Solve for x
    x = 139,886.62/419.04
  6. Step 6: Final answer
    x = 333.83

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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.