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Finding the Fourth Proportional to 300.31, 413.98 and 237.87

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Solution

The fourth proportional to 300.31, 413.98 and 237.87 is: 327.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.31 : 413.98 = 237.87 : x
  2. Step 2: Convert to fraction form
    300.31/413.98 = 237.87/x
  3. Step 3: Cross multiply
    300.31x = 413.98 × 237.87
  4. Step 4: Simplify right side
    300.31x = 98,472.83
  5. Step 5: Solve for x
    x = 98,472.83/300.31
  6. Step 6: Final answer
    x = 327.91

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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.