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Finding the Fourth Proportional to 407.47, 611.16 and 326.80

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Solution

The fourth proportional to 407.47, 611.16 and 326.80 is: 490.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.47 : 611.16 = 326.80 : x
  2. Step 2: Convert to fraction form
    407.47/611.16 = 326.80/x
  3. Step 3: Cross multiply
    407.47x = 611.16 × 326.80
  4. Step 4: Simplify right side
    407.47x = 199,727.09
  5. Step 5: Solve for x
    x = 199,727.09/407.47
  6. Step 6: Final answer
    x = 490.16

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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.