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Finding the Fourth Proportional to 199.89, 300.14 and 173.16

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Solution

The fourth proportional to 199.89, 300.14 and 173.16 is: 260.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.89 : 300.14 = 173.16 : x
  2. Step 2: Convert to fraction form
    199.89/300.14 = 173.16/x
  3. Step 3: Cross multiply
    199.89x = 300.14 × 173.16
  4. Step 4: Simplify right side
    199.89x = 51,971.38
  5. Step 5: Solve for x
    x = 51,971.38/199.89
  6. Step 6: Final answer
    x = 260.00

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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.