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Finding the Fourth Proportional to 422.88, 633.60 and 294.72

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Solution

The fourth proportional to 422.88, 633.60 and 294.72 is: 441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.88 : 633.60 = 294.72 : x
  2. Step 2: Convert to fraction form
    422.88/633.60 = 294.72/x
  3. Step 3: Cross multiply
    422.88x = 633.60 × 294.72
  4. Step 4: Simplify right side
    422.88x = 186,734.59
  5. Step 5: Solve for x
    x = 186,734.59/422.88
  6. Step 6: Final answer
    x = 441.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.