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Finding the Fourth Proportional to 368.12, 551.73 and 173

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Solution

The fourth proportional to 368.12, 551.73 and 173 is: 259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.12 : 551.73 = 173 : x
  2. Step 2: Convert to fraction form
    368.12/551.73 = 173/x
  3. Step 3: Cross multiply
    368.12x = 551.73 × 173
  4. Step 4: Simplify right side
    368.12x = 95,449.29
  5. Step 5: Solve for x
    x = 95,449.29/368.12
  6. Step 6: Final answer
    x = 259.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.