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Finding the Fourth Proportional to 199.32, 300.35 and 164.04

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Solution

The fourth proportional to 199.32, 300.35 and 164.04 is: 247.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.32 : 300.35 = 164.04 : x
  2. Step 2: Convert to fraction form
    199.32/300.35 = 164.04/x
  3. Step 3: Cross multiply
    199.32x = 300.35 × 164.04
  4. Step 4: Simplify right side
    199.32x = 49,268.59
  5. Step 5: Solve for x
    x = 49,268.59/199.32
  6. Step 6: Final answer
    x = 247.18

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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.