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Finding the Fourth Proportional to 419.06, 628.55 and 213.48

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Solution

The fourth proportional to 419.06, 628.55 and 213.48 is: 320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.06 : 628.55 = 213.48 : x
  2. Step 2: Convert to fraction form
    419.06/628.55 = 213.48/x
  3. Step 3: Cross multiply
    419.06x = 628.55 × 213.48
  4. Step 4: Simplify right side
    419.06x = 134,181.79
  5. Step 5: Solve for x
    x = 134,181.79/419.06
  6. Step 6: Final answer
    x = 320.20

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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.