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Finding the Fourth Proportional to 457.36, 685.69 and 164.68

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Solution

The fourth proportional to 457.36, 685.69 and 164.68 is: 246.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.36 : 685.69 = 164.68 : x
  2. Step 2: Convert to fraction form
    457.36/685.69 = 164.68/x
  3. Step 3: Cross multiply
    457.36x = 685.69 × 164.68
  4. Step 4: Simplify right side
    457.36x = 112,919.43
  5. Step 5: Solve for x
    x = 112,919.43/457.36
  6. Step 6: Final answer
    x = 246.89

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