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Finding the Fourth Proportional to 459.96, 689.79 and 216.33

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Solution

The fourth proportional to 459.96, 689.79 and 216.33 is: 324.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.96 : 689.79 = 216.33 : x
  2. Step 2: Convert to fraction form
    459.96/689.79 = 216.33/x
  3. Step 3: Cross multiply
    459.96x = 689.79 × 216.33
  4. Step 4: Simplify right side
    459.96x = 149,222.27
  5. Step 5: Solve for x
    x = 149,222.27/459.96
  6. Step 6: Final answer
    x = 324.42

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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.