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Finding the Fourth Proportional to 333.06, 499.86 and 203.28

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Solution

The fourth proportional to 333.06, 499.86 and 203.28 is: 305.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.06 : 499.86 = 203.28 : x
  2. Step 2: Convert to fraction form
    333.06/499.86 = 203.28/x
  3. Step 3: Cross multiply
    333.06x = 499.86 × 203.28
  4. Step 4: Simplify right side
    333.06x = 101,611.54
  5. Step 5: Solve for x
    x = 101,611.54/333.06
  6. Step 6: Final answer
    x = 305.08

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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.