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Finding the Fourth Proportional to 419.49, 578.30 and 301.41

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Solution

The fourth proportional to 419.49, 578.30 and 301.41 is: 415.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.49 : 578.30 = 301.41 : x
  2. Step 2: Convert to fraction form
    419.49/578.30 = 301.41/x
  3. Step 3: Cross multiply
    419.49x = 578.30 × 301.41
  4. Step 4: Simplify right side
    419.49x = 174,303.90
  5. Step 5: Solve for x
    x = 174,303.90/419.49
  6. Step 6: Final answer
    x = 415.51

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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.