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Finding the Fourth Proportional to 413.13, 570.24 and 282.36

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Solution

The fourth proportional to 413.13, 570.24 and 282.36 is: 389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.13 : 570.24 = 282.36 : x
  2. Step 2: Convert to fraction form
    413.13/570.24 = 282.36/x
  3. Step 3: Cross multiply
    413.13x = 570.24 × 282.36
  4. Step 4: Simplify right side
    413.13x = 161,012.97
  5. Step 5: Solve for x
    x = 161,012.97/413.13
  6. Step 6: Final answer
    x = 389.74

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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.