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Finding the Fourth Proportional to 321.66, 478.92 and 317.13

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Solution

The fourth proportional to 321.66, 478.92 and 317.13 is: 472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.66 : 478.92 = 317.13 : x
  2. Step 2: Convert to fraction form
    321.66/478.92 = 317.13/x
  3. Step 3: Cross multiply
    321.66x = 478.92 × 317.13
  4. Step 4: Simplify right side
    321.66x = 151,879.90
  5. Step 5: Solve for x
    x = 151,879.90/321.66
  6. Step 6: Final answer
    x = 472.18

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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.