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Finding the Fourth Proportional to 321.72, 479.94 and 294.48

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Solution

The fourth proportional to 321.72, 479.94 and 294.48 is: 439.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.72 : 479.94 = 294.48 : x
  2. Step 2: Convert to fraction form
    321.72/479.94 = 294.48/x
  3. Step 3: Cross multiply
    321.72x = 479.94 × 294.48
  4. Step 4: Simplify right side
    321.72x = 141,332.73
  5. Step 5: Solve for x
    x = 141,332.73/321.72
  6. Step 6: Final answer
    x = 439.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.