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Finding the Fourth Proportional to 387.70, 584.26 and 349.21

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Solution

The fourth proportional to 387.70, 584.26 and 349.21 is: 526.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.70 : 584.26 = 349.21 : x
  2. Step 2: Convert to fraction form
    387.70/584.26 = 349.21/x
  3. Step 3: Cross multiply
    387.70x = 584.26 × 349.21
  4. Step 4: Simplify right side
    387.70x = 204,029.43
  5. Step 5: Solve for x
    x = 204,029.43/387.70
  6. Step 6: Final answer
    x = 526.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.