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Finding the Fourth Proportional to 446.46, 615.89 and 289.22

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Solution

The fourth proportional to 446.46, 615.89 and 289.22 is: 398.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.46 : 615.89 = 289.22 : x
  2. Step 2: Convert to fraction form
    446.46/615.89 = 289.22/x
  3. Step 3: Cross multiply
    446.46x = 615.89 × 289.22
  4. Step 4: Simplify right side
    446.46x = 178,129.97
  5. Step 5: Solve for x
    x = 178,129.97/446.46
  6. Step 6: Final answer
    x = 398.98

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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.