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Finding the Fourth Proportional to 415.06, 622 and 328.01

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Solution

The fourth proportional to 415.06, 622 and 328.01 is: 491.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.06 : 622 = 328.01 : x
  2. Step 2: Convert to fraction form
    415.06/622 = 328.01/x
  3. Step 3: Cross multiply
    415.06x = 622 × 328.01
  4. Step 4: Simplify right side
    415.06x = 204,022.22
  5. Step 5: Solve for x
    x = 204,022.22/415.06
  6. Step 6: Final answer
    x = 491.55

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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.