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Finding the Fourth Proportional to 416.10, 623.73 and 199.98

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Solution

The fourth proportional to 416.10, 623.73 and 199.98 is: 299.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.10 : 623.73 = 199.98 : x
  2. Step 2: Convert to fraction form
    416.10/623.73 = 199.98/x
  3. Step 3: Cross multiply
    416.10x = 623.73 × 199.98
  4. Step 4: Simplify right side
    416.10x = 124,733.53
  5. Step 5: Solve for x
    x = 124,733.53/416.10
  6. Step 6: Final answer
    x = 299.77

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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.