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Finding the Fourth Proportional to 441.84, 609.76 and 267.21

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Solution

The fourth proportional to 441.84, 609.76 and 267.21 is: 368.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.84 : 609.76 = 267.21 : x
  2. Step 2: Convert to fraction form
    441.84/609.76 = 267.21/x
  3. Step 3: Cross multiply
    441.84x = 609.76 × 267.21
  4. Step 4: Simplify right side
    441.84x = 162,933.97
  5. Step 5: Solve for x
    x = 162,933.97/441.84
  6. Step 6: Final answer
    x = 368.76

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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.