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Finding the Fourth Proportional to 413.86, 618.06 and 368.50

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Solution

The fourth proportional to 413.86, 618.06 and 368.50 is: 550.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.86 : 618.06 = 368.50 : x
  2. Step 2: Convert to fraction form
    413.86/618.06 = 368.50/x
  3. Step 3: Cross multiply
    413.86x = 618.06 × 368.50
  4. Step 4: Simplify right side
    413.86x = 227,755.11
  5. Step 5: Solve for x
    x = 227,755.11/413.86
  6. Step 6: Final answer
    x = 550.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.