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Finding the Fourth Proportional to 367.89, 551.57 and 172.79

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Solution

The fourth proportional to 367.89, 551.57 and 172.79 is: 259.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.89 : 551.57 = 172.79 : x
  2. Step 2: Convert to fraction form
    367.89/551.57 = 172.79/x
  3. Step 3: Cross multiply
    367.89x = 551.57 × 172.79
  4. Step 4: Simplify right side
    367.89x = 95,302.16
  5. Step 5: Solve for x
    x = 95,302.16/367.89
  6. Step 6: Final answer
    x = 259.05

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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.