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Finding the Fourth Proportional to 303.86, 456.18 and 300.80

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Solution

The fourth proportional to 303.86, 456.18 and 300.80 is: 451.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.86 : 456.18 = 300.80 : x
  2. Step 2: Convert to fraction form
    303.86/456.18 = 300.80/x
  3. Step 3: Cross multiply
    303.86x = 456.18 × 300.80
  4. Step 4: Simplify right side
    303.86x = 137,218.94
  5. Step 5: Solve for x
    x = 137,218.94/303.86
  6. Step 6: Final answer
    x = 451.59

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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.