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Finding the Fourth Proportional to 413.04, 570.15 and 282.12

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Solution

The fourth proportional to 413.04, 570.15 and 282.12 is: 389.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.04 : 570.15 = 282.12 : x
  2. Step 2: Convert to fraction form
    413.04/570.15 = 282.12/x
  3. Step 3: Cross multiply
    413.04x = 570.15 × 282.12
  4. Step 4: Simplify right side
    413.04x = 160,850.72
  5. Step 5: Solve for x
    x = 160,850.72/413.04
  6. Step 6: Final answer
    x = 389.43

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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.