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Finding the Fourth Proportional to 415.66, 623.72 and 199.22

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Solution

The fourth proportional to 415.66, 623.72 and 199.22 is: 298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.66 : 623.72 = 199.22 : x
  2. Step 2: Convert to fraction form
    415.66/623.72 = 199.22/x
  3. Step 3: Cross multiply
    415.66x = 623.72 × 199.22
  4. Step 4: Simplify right side
    415.66x = 124,257.50
  5. Step 5: Solve for x
    x = 124,257.50/415.66
  6. Step 6: Final answer
    x = 298.94

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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.