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Finding the Fourth Proportional to 399.56, 599.17 and 216.91

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Solution

The fourth proportional to 399.56, 599.17 and 216.91 is: 325.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.56 : 599.17 = 216.91 : x
  2. Step 2: Convert to fraction form
    399.56/599.17 = 216.91/x
  3. Step 3: Cross multiply
    399.56x = 599.17 × 216.91
  4. Step 4: Simplify right side
    399.56x = 129,961.88
  5. Step 5: Solve for x
    x = 129,961.88/399.56
  6. Step 6: Final answer
    x = 325.26

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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.