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Finding the Fourth Proportional to 321.16, 482.51 and 205.83

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Solution

The fourth proportional to 321.16, 482.51 and 205.83 is: 309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.16 : 482.51 = 205.83 : x
  2. Step 2: Convert to fraction form
    321.16/482.51 = 205.83/x
  3. Step 3: Cross multiply
    321.16x = 482.51 × 205.83
  4. Step 4: Simplify right side
    321.16x = 99,316.54
  5. Step 5: Solve for x
    x = 99,316.54/321.16
  6. Step 6: Final answer
    x = 309.24

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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.