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Finding the Fourth Proportional to 413.81, 620.03 and 251.00

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Solution

The fourth proportional to 413.81, 620.03 and 251.00 is: 376.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.81 : 620.03 = 251.00 : x
  2. Step 2: Convert to fraction form
    413.81/620.03 = 251.00/x
  3. Step 3: Cross multiply
    413.81x = 620.03 × 251.00
  4. Step 4: Simplify right side
    413.81x = 155,623.17
  5. Step 5: Solve for x
    x = 155,623.17/413.81
  6. Step 6: Final answer
    x = 376.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.