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Finding the Fourth Proportional to 413.13, 618.87 and 201.75

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Solution

The fourth proportional to 413.13, 618.87 and 201.75 is: 302.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.13 : 618.87 = 201.75 : x
  2. Step 2: Convert to fraction form
    413.13/618.87 = 201.75/x
  3. Step 3: Cross multiply
    413.13x = 618.87 × 201.75
  4. Step 4: Simplify right side
    413.13x = 124,857.02
  5. Step 5: Solve for x
    x = 124,857.02/413.13
  6. Step 6: Final answer
    x = 302.22

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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.