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Finding the Fourth Proportional to 399.54, 596.41 and 369.47

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Solution

The fourth proportional to 399.54, 596.41 and 369.47 is: 551.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.54 : 596.41 = 369.47 : x
  2. Step 2: Convert to fraction form
    399.54/596.41 = 369.47/x
  3. Step 3: Cross multiply
    399.54x = 596.41 × 369.47
  4. Step 4: Simplify right side
    399.54x = 220,352.62
  5. Step 5: Solve for x
    x = 220,352.62/399.54
  6. Step 6: Final answer
    x = 551.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.