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Finding the Fourth Proportional to 413.31, 570.57 and 319.85

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Solution

The fourth proportional to 413.31, 570.57 and 319.85 is: 441.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.31 : 570.57 = 319.85 : x
  2. Step 2: Convert to fraction form
    413.31/570.57 = 319.85/x
  3. Step 3: Cross multiply
    413.31x = 570.57 × 319.85
  4. Step 4: Simplify right side
    413.31x = 182,493.96
  5. Step 5: Solve for x
    x = 182,493.96/413.31
  6. Step 6: Final answer
    x = 441.54

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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.