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Finding the Fourth Proportional to 416.36, 623.98 and 199.48

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Solution

The fourth proportional to 416.36, 623.98 and 199.48 is: 298.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.36 : 623.98 = 199.48 : x
  2. Step 2: Convert to fraction form
    416.36/623.98 = 199.48/x
  3. Step 3: Cross multiply
    416.36x = 623.98 × 199.48
  4. Step 4: Simplify right side
    416.36x = 124,471.53
  5. Step 5: Solve for x
    x = 124,471.53/416.36
  6. Step 6: Final answer
    x = 298.95

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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.