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Finding the Fourth Proportional to 300.84, 451.58 and 164.16

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Solution

The fourth proportional to 300.84, 451.58 and 164.16 is: 246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.84 : 451.58 = 164.16 : x
  2. Step 2: Convert to fraction form
    300.84/451.58 = 164.16/x
  3. Step 3: Cross multiply
    300.84x = 451.58 × 164.16
  4. Step 4: Simplify right side
    300.84x = 74,130.55
  5. Step 5: Solve for x
    x = 74,130.55/300.84
  6. Step 6: Final answer
    x = 246.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.