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Finding the Fourth Proportional to 456.55, 685.01 and 164.09

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Solution

The fourth proportional to 456.55, 685.01 and 164.09 is: 246.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.55 : 685.01 = 164.09 : x
  2. Step 2: Convert to fraction form
    456.55/685.01 = 164.09/x
  3. Step 3: Cross multiply
    456.55x = 685.01 × 164.09
  4. Step 4: Simplify right side
    456.55x = 112,399.05
  5. Step 5: Solve for x
    x = 112,399.05/456.55
  6. Step 6: Final answer
    x = 246.19

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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.