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Finding the Fourth Proportional to 446.22, 615.42 and 288.84

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Solution

The fourth proportional to 446.22, 615.42 and 288.84 is: 398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.22 : 615.42 = 288.84 : x
  2. Step 2: Convert to fraction form
    446.22/615.42 = 288.84/x
  3. Step 3: Cross multiply
    446.22x = 615.42 × 288.84
  4. Step 4: Simplify right side
    446.22x = 177,757.91
  5. Step 5: Solve for x
    x = 177,757.91/446.22
  6. Step 6: Final answer
    x = 398.36

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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.