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Finding the Fourth Proportional to 367.45, 550.82 and 172.58

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Solution

The fourth proportional to 367.45, 550.82 and 172.58 is: 258.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.45 : 550.82 = 172.58 : x
  2. Step 2: Convert to fraction form
    367.45/550.82 = 172.58/x
  3. Step 3: Cross multiply
    367.45x = 550.82 × 172.58
  4. Step 4: Simplify right side
    367.45x = 95,061.03
  5. Step 5: Solve for x
    x = 95,061.03/367.45
  6. Step 6: Final answer
    x = 258.70

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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.