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Finding the Fourth Proportional to 165.02, 226.58 and 141.69

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Solution

The fourth proportional to 165.02, 226.58 and 141.69 is: 194.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.02 : 226.58 = 141.69 : x
  2. Step 2: Convert to fraction form
    165.02/226.58 = 141.69/x
  3. Step 3: Cross multiply
    165.02x = 226.58 × 141.69
  4. Step 4: Simplify right side
    165.02x = 32,103.41
  5. Step 5: Solve for x
    x = 32,103.41/165.02
  6. Step 6: Final answer
    x = 194.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.