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Finding the Fourth Proportional to 371.07, 509.72 and 300.83

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Solution

The fourth proportional to 371.07, 509.72 and 300.83 is: 413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.07 : 509.72 = 300.83 : x
  2. Step 2: Convert to fraction form
    371.07/509.72 = 300.83/x
  3. Step 3: Cross multiply
    371.07x = 509.72 × 300.83
  4. Step 4: Simplify right side
    371.07x = 153,335.01
  5. Step 5: Solve for x
    x = 153,335.01/371.07
  6. Step 6: Final answer
    x = 413.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.