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Finding the Fourth Proportional to 180.36, 269.23 and 165.90

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Solution

The fourth proportional to 180.36, 269.23 and 165.90 is: 247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.36 : 269.23 = 165.90 : x
  2. Step 2: Convert to fraction form
    180.36/269.23 = 165.90/x
  3. Step 3: Cross multiply
    180.36x = 269.23 × 165.90
  4. Step 4: Simplify right side
    180.36x = 44,664.84
  5. Step 5: Solve for x
    x = 44,664.84/180.36
  6. Step 6: Final answer
    x = 247.64

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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.