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Finding the Fourth Proportional to 387.72, 584.37 and 371.25

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Solution

The fourth proportional to 387.72, 584.37 and 371.25 is: 559.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.72 : 584.37 = 371.25 : x
  2. Step 2: Convert to fraction form
    387.72/584.37 = 371.25/x
  3. Step 3: Cross multiply
    387.72x = 584.37 × 371.25
  4. Step 4: Simplify right side
    387.72x = 216,947.36
  5. Step 5: Solve for x
    x = 216,947.36/387.72
  6. Step 6: Final answer
    x = 559.55

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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.