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Finding the Fourth Proportional to 303.88, 415.97 and 294.04

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Solution

The fourth proportional to 303.88, 415.97 and 294.04 is: 402.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.88 : 415.97 = 294.04 : x
  2. Step 2: Convert to fraction form
    303.88/415.97 = 294.04/x
  3. Step 3: Cross multiply
    303.88x = 415.97 × 294.04
  4. Step 4: Simplify right side
    303.88x = 122,311.82
  5. Step 5: Solve for x
    x = 122,311.82/303.88
  6. Step 6: Final answer
    x = 402.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.