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Finding the Fourth Proportional to 303.67, 419.25 and 187.39

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Solution

The fourth proportional to 303.67, 419.25 and 187.39 is: 258.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.67 : 419.25 = 187.39 : x
  2. Step 2: Convert to fraction form
    303.67/419.25 = 187.39/x
  3. Step 3: Cross multiply
    303.67x = 419.25 × 187.39
  4. Step 4: Simplify right side
    303.67x = 78,563.26
  5. Step 5: Solve for x
    x = 78,563.26/303.67
  6. Step 6: Final answer
    x = 258.71

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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.