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Finding the Fourth Proportional to 419.28, 628.92 and 199.77

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Solution

The fourth proportional to 419.28, 628.92 and 199.77 is: 299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.28 : 628.92 = 199.77 : x
  2. Step 2: Convert to fraction form
    419.28/628.92 = 199.77/x
  3. Step 3: Cross multiply
    419.28x = 628.92 × 199.77
  4. Step 4: Simplify right side
    419.28x = 125,639.35
  5. Step 5: Solve for x
    x = 125,639.35/419.28
  6. Step 6: Final answer
    x = 299.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.