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Finding the Fourth Proportional to 403.36, 604.32 and 294.64

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Solution

The fourth proportional to 403.36, 604.32 and 294.64 is: 441.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.36 : 604.32 = 294.64 : x
  2. Step 2: Convert to fraction form
    403.36/604.32 = 294.64/x
  3. Step 3: Cross multiply
    403.36x = 604.32 × 294.64
  4. Step 4: Simplify right side
    403.36x = 178,056.84
  5. Step 5: Solve for x
    x = 178,056.84/403.36
  6. Step 6: Final answer
    x = 441.43

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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.