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Finding the Fourth Proportional to 324.98, 445.56 and 319.15

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Solution

The fourth proportional to 324.98, 445.56 and 319.15 is: 437.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.98 : 445.56 = 319.15 : x
  2. Step 2: Convert to fraction form
    324.98/445.56 = 319.15/x
  3. Step 3: Cross multiply
    324.98x = 445.56 × 319.15
  4. Step 4: Simplify right side
    324.98x = 142,200.47
  5. Step 5: Solve for x
    x = 142,200.47/324.98
  6. Step 6: Final answer
    x = 437.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.