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Finding the Fourth Proportional to 199.95, 298.20 and 180.51

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Solution

The fourth proportional to 199.95, 298.20 and 180.51 is: 269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.95 : 298.20 = 180.51 : x
  2. Step 2: Convert to fraction form
    199.95/298.20 = 180.51/x
  3. Step 3: Cross multiply
    199.95x = 298.20 × 180.51
  4. Step 4: Simplify right side
    199.95x = 53,828.08
  5. Step 5: Solve for x
    x = 53,828.08/199.95
  6. Step 6: Final answer
    x = 269.21

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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.