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Finding the Fourth Proportional to 321.96, 479.71 and 307.98

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Solution

The fourth proportional to 321.96, 479.71 and 307.98 is: 458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.96 : 479.71 = 307.98 : x
  2. Step 2: Convert to fraction form
    321.96/479.71 = 307.98/x
  3. Step 3: Cross multiply
    321.96x = 479.71 × 307.98
  4. Step 4: Simplify right side
    321.96x = 147,741.09
  5. Step 5: Solve for x
    x = 147,741.09/321.96
  6. Step 6: Final answer
    x = 458.88

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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.