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Finding the Fourth Proportional to 180.63, 269.93 and 173.34

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Solution

The fourth proportional to 180.63, 269.93 and 173.34 is: 259.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.63 : 269.93 = 173.34 : x
  2. Step 2: Convert to fraction form
    180.63/269.93 = 173.34/x
  3. Step 3: Cross multiply
    180.63x = 269.93 × 173.34
  4. Step 4: Simplify right side
    180.63x = 46,790.10
  5. Step 5: Solve for x
    x = 46,790.10/180.63
  6. Step 6: Final answer
    x = 259.04

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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.