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Finding the Fourth Proportional to 413.03, 569.95 and 226.50

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Solution

The fourth proportional to 413.03, 569.95 and 226.50 is: 312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.03 : 569.95 = 226.50 : x
  2. Step 2: Convert to fraction form
    413.03/569.95 = 226.50/x
  3. Step 3: Cross multiply
    413.03x = 569.95 × 226.50
  4. Step 4: Simplify right side
    413.03x = 129,093.68
  5. Step 5: Solve for x
    x = 129,093.68/413.03
  6. Step 6: Final answer
    x = 312.55

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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.