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Finding the Fourth Proportional to 413.85, 571.12 and 248.05

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Solution

The fourth proportional to 413.85, 571.12 and 248.05 is: 342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.85 : 571.12 = 248.05 : x
  2. Step 2: Convert to fraction form
    413.85/571.12 = 248.05/x
  3. Step 3: Cross multiply
    413.85x = 571.12 × 248.05
  4. Step 4: Simplify right side
    413.85x = 141,665.70
  5. Step 5: Solve for x
    x = 141,665.70/413.85
  6. Step 6: Final answer
    x = 342.32

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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.