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Finding the Fourth Proportional to 413.33, 569.46 and 319.76

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Solution

The fourth proportional to 413.33, 569.46 and 319.76 is: 440.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.33 : 569.46 = 319.76 : x
  2. Step 2: Convert to fraction form
    413.33/569.46 = 319.76/x
  3. Step 3: Cross multiply
    413.33x = 569.46 × 319.76
  4. Step 4: Simplify right side
    413.33x = 182,087.68
  5. Step 5: Solve for x
    x = 182,087.68/413.33
  6. Step 6: Final answer
    x = 440.54

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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.