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Finding the Fourth Proportional to 180.05, 268.13 and 173.97

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Solution

The fourth proportional to 180.05, 268.13 and 173.97 is: 259.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.05 : 268.13 = 173.97 : x
  2. Step 2: Convert to fraction form
    180.05/268.13 = 173.97/x
  3. Step 3: Cross multiply
    180.05x = 268.13 × 173.97
  4. Step 4: Simplify right side
    180.05x = 46,646.58
  5. Step 5: Solve for x
    x = 46,646.58/180.05
  6. Step 6: Final answer
    x = 259.08

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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.