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Finding the Fourth Proportional to 321.14, 478.31 and 319.59

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Solution

The fourth proportional to 321.14, 478.31 and 319.59 is: 476.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.14 : 478.31 = 319.59 : x
  2. Step 2: Convert to fraction form
    321.14/478.31 = 319.59/x
  3. Step 3: Cross multiply
    321.14x = 478.31 × 319.59
  4. Step 4: Simplify right side
    321.14x = 152,863.09
  5. Step 5: Solve for x
    x = 152,863.09/321.14
  6. Step 6: Final answer
    x = 476.00

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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.