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Finding the Fourth Proportional to 398.68, 596.48 and 216.20

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Solution

The fourth proportional to 398.68, 596.48 and 216.20 is: 323.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.68 : 596.48 = 216.20 : x
  2. Step 2: Convert to fraction form
    398.68/596.48 = 216.20/x
  3. Step 3: Cross multiply
    398.68x = 596.48 × 216.20
  4. Step 4: Simplify right side
    398.68x = 128,958.98
  5. Step 5: Solve for x
    x = 128,958.98/398.68
  6. Step 6: Final answer
    x = 323.46

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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.