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Finding the Fourth Proportional to 419.01, 628.14 and 223.86

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Solution

The fourth proportional to 419.01, 628.14 and 223.86 is: 335.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.01 : 628.14 = 223.86 : x
  2. Step 2: Convert to fraction form
    419.01/628.14 = 223.86/x
  3. Step 3: Cross multiply
    419.01x = 628.14 × 223.86
  4. Step 4: Simplify right side
    419.01x = 140,615.42
  5. Step 5: Solve for x
    x = 140,615.42/419.01
  6. Step 6: Final answer
    x = 335.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.