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Finding the Fourth Proportional to 419.22, 578.07 and 308.52

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Solution

The fourth proportional to 419.22, 578.07 and 308.52 is: 425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.22 : 578.07 = 308.52 : x
  2. Step 2: Convert to fraction form
    419.22/578.07 = 308.52/x
  3. Step 3: Cross multiply
    419.22x = 578.07 × 308.52
  4. Step 4: Simplify right side
    419.22x = 178,346.16
  5. Step 5: Solve for x
    x = 178,346.16/419.22
  6. Step 6: Final answer
    x = 425.42

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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.