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Finding the Fourth Proportional to 578.16, 866.40 and 321.12

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Solution

The fourth proportional to 578.16, 866.40 and 321.12 is: 481.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.16 : 866.40 = 321.12 : x
  2. Step 2: Convert to fraction form
    578.16/866.40 = 321.12/x
  3. Step 3: Cross multiply
    578.16x = 866.40 × 321.12
  4. Step 4: Simplify right side
    578.16x = 278,218.37
  5. Step 5: Solve for x
    x = 278,218.37/578.16
  6. Step 6: Final answer
    x = 481.21

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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.