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Finding the Fourth Proportional to 413.31, 570.45 and 282.22

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Solution

The fourth proportional to 413.31, 570.45 and 282.22 is: 389.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.31 : 570.45 = 282.22 : x
  2. Step 2: Convert to fraction form
    413.31/570.45 = 282.22/x
  3. Step 3: Cross multiply
    413.31x = 570.45 × 282.22
  4. Step 4: Simplify right side
    413.31x = 160,992.40
  5. Step 5: Solve for x
    x = 160,992.40/413.31
  6. Step 6: Final answer
    x = 389.52

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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.