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Finding the Fourth Proportional to 303.79, 419.30 and 198.69

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Solution

The fourth proportional to 303.79, 419.30 and 198.69 is: 274.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.79 : 419.30 = 198.69 : x
  2. Step 2: Convert to fraction form
    303.79/419.30 = 198.69/x
  3. Step 3: Cross multiply
    303.79x = 419.30 × 198.69
  4. Step 4: Simplify right side
    303.79x = 83,312.99
  5. Step 5: Solve for x
    x = 83,312.99/303.79
  6. Step 6: Final answer
    x = 274.24

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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.