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Finding the Fourth Proportional to 441.24, 608.82 and 266.64

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Solution

The fourth proportional to 441.24, 608.82 and 266.64 is: 367.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.24 : 608.82 = 266.64 : x
  2. Step 2: Convert to fraction form
    441.24/608.82 = 266.64/x
  3. Step 3: Cross multiply
    441.24x = 608.82 × 266.64
  4. Step 4: Simplify right side
    441.24x = 162,335.76
  5. Step 5: Solve for x
    x = 162,335.76/441.24
  6. Step 6: Final answer
    x = 367.91

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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.