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Finding the Fourth Proportional to 367.89, 551.95 and 172.88

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Solution

The fourth proportional to 367.89, 551.95 and 172.88 is: 259.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.89 : 551.95 = 172.88 : x
  2. Step 2: Convert to fraction form
    367.89/551.95 = 172.88/x
  3. Step 3: Cross multiply
    367.89x = 551.95 × 172.88
  4. Step 4: Simplify right side
    367.89x = 95,419.99
  5. Step 5: Solve for x
    x = 95,419.99/367.89
  6. Step 6: Final answer
    x = 259.37

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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.