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Finding the Fourth Proportional to 204.88, 309.10 and 199.12

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Solution

The fourth proportional to 204.88, 309.10 and 199.12 is: 300.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.88 : 309.10 = 199.12 : x
  2. Step 2: Convert to fraction form
    204.88/309.10 = 199.12/x
  3. Step 3: Cross multiply
    204.88x = 309.10 × 199.12
  4. Step 4: Simplify right side
    204.88x = 61,547.99
  5. Step 5: Solve for x
    x = 61,547.99/204.88
  6. Step 6: Final answer
    x = 300.41

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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.