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Finding the Fourth Proportional to 496.56, 685.23 and 300.18

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Solution

The fourth proportional to 496.56, 685.23 and 300.18 is: 414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.56 : 685.23 = 300.18 : x
  2. Step 2: Convert to fraction form
    496.56/685.23 = 300.18/x
  3. Step 3: Cross multiply
    496.56x = 685.23 × 300.18
  4. Step 4: Simplify right side
    496.56x = 205,692.34
  5. Step 5: Solve for x
    x = 205,692.34/496.56
  6. Step 6: Final answer
    x = 414.23

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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.