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Finding the Fourth Proportional to 419.67, 626.95 and 272.22

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Solution

The fourth proportional to 419.67, 626.95 and 272.22 is: 406.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.67 : 626.95 = 272.22 : x
  2. Step 2: Convert to fraction form
    419.67/626.95 = 272.22/x
  3. Step 3: Cross multiply
    419.67x = 626.95 × 272.22
  4. Step 4: Simplify right side
    419.67x = 170,668.33
  5. Step 5: Solve for x
    x = 170,668.33/419.67
  6. Step 6: Final answer
    x = 406.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.