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Finding the Fourth Proportional to 397.21, 592.55 and 369.24

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Solution

The fourth proportional to 397.21, 592.55 and 369.24 is: 550.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.21 : 592.55 = 369.24 : x
  2. Step 2: Convert to fraction form
    397.21/592.55 = 369.24/x
  3. Step 3: Cross multiply
    397.21x = 592.55 × 369.24
  4. Step 4: Simplify right side
    397.21x = 218,794.09
  5. Step 5: Solve for x
    x = 218,794.09/397.21
  6. Step 6: Final answer
    x = 550.83

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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.