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Finding the Fourth Proportional to 303.86, 419.15 and 185.79

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Solution

The fourth proportional to 303.86, 419.15 and 185.79 is: 256.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.86 : 419.15 = 185.79 : x
  2. Step 2: Convert to fraction form
    303.86/419.15 = 185.79/x
  3. Step 3: Cross multiply
    303.86x = 419.15 × 185.79
  4. Step 4: Simplify right side
    303.86x = 77,872.95
  5. Step 5: Solve for x
    x = 77,872.95/303.86
  6. Step 6: Final answer
    x = 256.28

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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.