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Finding the Fourth Proportional to 303.98, 419.51 and 179.75

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Solution

The fourth proportional to 303.98, 419.51 and 179.75 is: 248.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.98 : 419.51 = 179.75 : x
  2. Step 2: Convert to fraction form
    303.98/419.51 = 179.75/x
  3. Step 3: Cross multiply
    303.98x = 419.51 × 179.75
  4. Step 4: Simplify right side
    303.98x = 75,407.07
  5. Step 5: Solve for x
    x = 75,407.07/303.98
  6. Step 6: Final answer
    x = 248.06

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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.