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Finding the Fourth Proportional to 369.27, 550.31 and 347.40

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Solution

The fourth proportional to 369.27, 550.31 and 347.40 is: 517.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.27 : 550.31 = 347.40 : x
  2. Step 2: Convert to fraction form
    369.27/550.31 = 347.40/x
  3. Step 3: Cross multiply
    369.27x = 550.31 × 347.40
  4. Step 4: Simplify right side
    369.27x = 191,175.96
  5. Step 5: Solve for x
    x = 191,175.96/369.27
  6. Step 6: Final answer
    x = 517.71

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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.