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Finding the Fourth Proportional to 199.80, 274.86 and 184.41

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Solution

The fourth proportional to 199.80, 274.86 and 184.41 is: 253.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.80 : 274.86 = 184.41 : x
  2. Step 2: Convert to fraction form
    199.80/274.86 = 184.41/x
  3. Step 3: Cross multiply
    199.80x = 274.86 × 184.41
  4. Step 4: Simplify right side
    199.80x = 50,686.93
  5. Step 5: Solve for x
    x = 50,686.93/199.80
  6. Step 6: Final answer
    x = 253.69

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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.