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Finding the Fourth Proportional to 303.87, 419.53 and 199.11

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Solution

The fourth proportional to 303.87, 419.53 and 199.11 is: 274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.87 : 419.53 = 199.11 : x
  2. Step 2: Convert to fraction form
    303.87/419.53 = 199.11/x
  3. Step 3: Cross multiply
    303.87x = 419.53 × 199.11
  4. Step 4: Simplify right side
    303.87x = 83,531.71
  5. Step 5: Solve for x
    x = 83,531.71/303.87
  6. Step 6: Final answer
    x = 274.89

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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.