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Finding the Fourth Proportional to 446.28, 615.99 and 291

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Solution

The fourth proportional to 446.28, 615.99 and 291 is: 401.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.28 : 615.99 = 291 : x
  2. Step 2: Convert to fraction form
    446.28/615.99 = 291/x
  3. Step 3: Cross multiply
    446.28x = 615.99 × 291
  4. Step 4: Simplify right side
    446.28x = 179,253.09
  5. Step 5: Solve for x
    x = 179,253.09/446.28
  6. Step 6: Final answer
    x = 401.66

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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.