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Finding the Fourth Proportional to 305.83, 421.81 and 199.41

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Solution

The fourth proportional to 305.83, 421.81 and 199.41 is: 275.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.83 : 421.81 = 199.41 : x
  2. Step 2: Convert to fraction form
    305.83/421.81 = 199.41/x
  3. Step 3: Cross multiply
    305.83x = 421.81 × 199.41
  4. Step 4: Simplify right side
    305.83x = 84,113.42
  5. Step 5: Solve for x
    x = 84,113.42/305.83
  6. Step 6: Final answer
    x = 275.04

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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.