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Finding the Fourth Proportional to 399.42, 596.22 and 369.35

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Solution

The fourth proportional to 399.42, 596.22 and 369.35 is: 551.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.42 : 596.22 = 369.35 : x
  2. Step 2: Convert to fraction form
    399.42/596.22 = 369.35/x
  3. Step 3: Cross multiply
    399.42x = 596.22 × 369.35
  4. Step 4: Simplify right side
    399.42x = 220,210.88
  5. Step 5: Solve for x
    x = 220,210.88/399.42
  6. Step 6: Final answer
    x = 551.33

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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.