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Finding the Fourth Proportional to 413.52, 619.58 and 321.84

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Solution

The fourth proportional to 413.52, 619.58 and 321.84 is: 482.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.52 : 619.58 = 321.84 : x
  2. Step 2: Convert to fraction form
    413.52/619.58 = 321.84/x
  3. Step 3: Cross multiply
    413.52x = 619.58 × 321.84
  4. Step 4: Simplify right side
    413.52x = 199,405.63
  5. Step 5: Solve for x
    x = 199,405.63/413.52
  6. Step 6: Final answer
    x = 482.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.