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Finding the Fourth Proportional to 300.40, 413.57 and 261.59

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Solution

The fourth proportional to 300.40, 413.57 and 261.59 is: 360.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.40 : 413.57 = 261.59 : x
  2. Step 2: Convert to fraction form
    300.40/413.57 = 261.59/x
  3. Step 3: Cross multiply
    300.40x = 413.57 × 261.59
  4. Step 4: Simplify right side
    300.40x = 108,184.36
  5. Step 5: Solve for x
    x = 108,184.36/300.40
  6. Step 6: Final answer
    x = 360.14

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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.