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Finding the Fourth Proportional to 165, 246.29 and 145.54

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Solution

The fourth proportional to 165, 246.29 and 145.54 is: 217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165 : 246.29 = 145.54 : x
  2. Step 2: Convert to fraction form
    165/246.29 = 145.54/x
  3. Step 3: Cross multiply
    165x = 246.29 × 145.54
  4. Step 4: Simplify right side
    165x = 35,845.05
  5. Step 5: Solve for x
    x = 35,845.05/165
  6. Step 6: Final answer
    x = 217.24

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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.