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Finding the Fourth Proportional to 322.68, 444.42 and 287.52

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Solution

The fourth proportional to 322.68, 444.42 and 287.52 is: 395.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.68 : 444.42 = 287.52 : x
  2. Step 2: Convert to fraction form
    322.68/444.42 = 287.52/x
  3. Step 3: Cross multiply
    322.68x = 444.42 × 287.52
  4. Step 4: Simplify right side
    322.68x = 127,779.64
  5. Step 5: Solve for x
    x = 127,779.64/322.68
  6. Step 6: Final answer
    x = 395.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.