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Finding the Fourth Proportional to 413.15, 618.16 and 297.86

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Solution

The fourth proportional to 413.15, 618.16 and 297.86 is: 445.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.15 : 618.16 = 297.86 : x
  2. Step 2: Convert to fraction form
    413.15/618.16 = 297.86/x
  3. Step 3: Cross multiply
    413.15x = 618.16 × 297.86
  4. Step 4: Simplify right side
    413.15x = 184,125.14
  5. Step 5: Solve for x
    x = 184,125.14/413.15
  6. Step 6: Final answer
    x = 445.66

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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.