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Finding the Fourth Proportional to 324.37, 445.70 and 287.47

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Solution

The fourth proportional to 324.37, 445.70 and 287.47 is: 395.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.37 : 445.70 = 287.47 : x
  2. Step 2: Convert to fraction form
    324.37/445.70 = 287.47/x
  3. Step 3: Cross multiply
    324.37x = 445.70 × 287.47
  4. Step 4: Simplify right side
    324.37x = 128,125.38
  5. Step 5: Solve for x
    x = 128,125.38/324.37
  6. Step 6: Final answer
    x = 395.00

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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.