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Finding the Fourth Proportional to 199.93, 276.16 and 166.84

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Solution

The fourth proportional to 199.93, 276.16 and 166.84 is: 230.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.93 : 276.16 = 166.84 : x
  2. Step 2: Convert to fraction form
    199.93/276.16 = 166.84/x
  3. Step 3: Cross multiply
    199.93x = 276.16 × 166.84
  4. Step 4: Simplify right side
    199.93x = 46,074.53
  5. Step 5: Solve for x
    x = 46,074.53/199.93
  6. Step 6: Final answer
    x = 230.45

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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.