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Finding the Fourth Proportional to 419.06, 578.12 and 301.02

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Solution

The fourth proportional to 419.06, 578.12 and 301.02 is: 415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.06 : 578.12 = 301.02 : x
  2. Step 2: Convert to fraction form
    419.06/578.12 = 301.02/x
  3. Step 3: Cross multiply
    419.06x = 578.12 × 301.02
  4. Step 4: Simplify right side
    419.06x = 174,025.68
  5. Step 5: Solve for x
    x = 174,025.68/419.06
  6. Step 6: Final answer
    x = 415.28

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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.