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Finding the Fourth Proportional to 423.21, 584.38 and 349.98

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Solution

The fourth proportional to 423.21, 584.38 and 349.98 is: 483.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.21 : 584.38 = 349.98 : x
  2. Step 2: Convert to fraction form
    423.21/584.38 = 349.98/x
  3. Step 3: Cross multiply
    423.21x = 584.38 × 349.98
  4. Step 4: Simplify right side
    423.21x = 204,521.31
  5. Step 5: Solve for x
    x = 204,521.31/423.21
  6. Step 6: Final answer
    x = 483.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.