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Finding the Fourth Proportional to 199.84, 275.78 and 111.31

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Solution

The fourth proportional to 199.84, 275.78 and 111.31 is: 153.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.84 : 275.78 = 111.31 : x
  2. Step 2: Convert to fraction form
    199.84/275.78 = 111.31/x
  3. Step 3: Cross multiply
    199.84x = 275.78 × 111.31
  4. Step 4: Simplify right side
    199.84x = 30,697.07
  5. Step 5: Solve for x
    x = 30,697.07/199.84
  6. Step 6: Final answer
    x = 153.61

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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.