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Finding the Fourth Proportional to 199.79, 298.05 and 182.55

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Solution

The fourth proportional to 199.79, 298.05 and 182.55 is: 272.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.79 : 298.05 = 182.55 : x
  2. Step 2: Convert to fraction form
    199.79/298.05 = 182.55/x
  3. Step 3: Cross multiply
    199.79x = 298.05 × 182.55
  4. Step 4: Simplify right side
    199.79x = 54,411.00
  5. Step 5: Solve for x
    x = 54,411.00/199.79
  6. Step 6: Final answer
    x = 272.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.