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Finding the Fourth Proportional to 253.93, 382.30 and 199.38

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Solution

The fourth proportional to 253.93, 382.30 and 199.38 is: 300.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.93 : 382.30 = 199.38 : x
  2. Step 2: Convert to fraction form
    253.93/382.30 = 199.38/x
  3. Step 3: Cross multiply
    253.93x = 382.30 × 199.38
  4. Step 4: Simplify right side
    253.93x = 76,222.97
  5. Step 5: Solve for x
    x = 76,222.97/253.93
  6. Step 6: Final answer
    x = 300.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.