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Finding the Fourth Proportional to 321.99, 482.96 and 167.82

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Solution

The fourth proportional to 321.99, 482.96 and 167.82 is: 251.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.99 : 482.96 = 167.82 : x
  2. Step 2: Convert to fraction form
    321.99/482.96 = 167.82/x
  3. Step 3: Cross multiply
    321.99x = 482.96 × 167.82
  4. Step 4: Simplify right side
    321.99x = 81,050.35
  5. Step 5: Solve for x
    x = 81,050.35/321.99
  6. Step 6: Final answer
    x = 251.72

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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.