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Finding the Fourth Proportional to 367.50, 551.52 and 239.52

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Solution

The fourth proportional to 367.50, 551.52 and 239.52 is: 359.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.50 : 551.52 = 239.52 : x
  2. Step 2: Convert to fraction form
    367.50/551.52 = 239.52/x
  3. Step 3: Cross multiply
    367.50x = 551.52 × 239.52
  4. Step 4: Simplify right side
    367.50x = 132,100.07
  5. Step 5: Solve for x
    x = 132,100.07/367.50
  6. Step 6: Final answer
    x = 359.46

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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.