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Finding the Fourth Proportional to 413.18, 570.77 and 321.11

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Solution

The fourth proportional to 413.18, 570.77 and 321.11 is: 443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.18 : 570.77 = 321.11 : x
  2. Step 2: Convert to fraction form
    413.18/570.77 = 321.11/x
  3. Step 3: Cross multiply
    413.18x = 570.77 × 321.11
  4. Step 4: Simplify right side
    413.18x = 183,279.95
  5. Step 5: Solve for x
    x = 183,279.95/413.18
  6. Step 6: Final answer
    x = 443.58

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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.