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Finding the Fourth Proportional to 459.45, 689.31 and 215.82

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Solution

The fourth proportional to 459.45, 689.31 and 215.82 is: 323.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.45 : 689.31 = 215.82 : x
  2. Step 2: Convert to fraction form
    459.45/689.31 = 215.82/x
  3. Step 3: Cross multiply
    459.45x = 689.31 × 215.82
  4. Step 4: Simplify right side
    459.45x = 148,766.88
  5. Step 5: Solve for x
    x = 148,766.88/459.45
  6. Step 6: Final answer
    x = 323.79

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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.