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Finding the Fourth Proportional to 165.33, 246.69 and 144.81

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Solution

The fourth proportional to 165.33, 246.69 and 144.81 is: 216.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.33 : 246.69 = 144.81 : x
  2. Step 2: Convert to fraction form
    165.33/246.69 = 144.81/x
  3. Step 3: Cross multiply
    165.33x = 246.69 × 144.81
  4. Step 4: Simplify right side
    165.33x = 35,723.18
  5. Step 5: Solve for x
    x = 35,723.18/165.33
  6. Step 6: Final answer
    x = 216.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.