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Finding the Fourth Proportional to 413.76, 571.14 and 283.44

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Solution

The fourth proportional to 413.76, 571.14 and 283.44 is: 391.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.76 : 571.14 = 283.44 : x
  2. Step 2: Convert to fraction form
    413.76/571.14 = 283.44/x
  3. Step 3: Cross multiply
    413.76x = 571.14 × 283.44
  4. Step 4: Simplify right side
    413.76x = 161,883.92
  5. Step 5: Solve for x
    x = 161,883.92/413.76
  6. Step 6: Final answer
    x = 391.25

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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.