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Finding the Fourth Proportional to 321.08, 478.87 and 275

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Solution

The fourth proportional to 321.08, 478.87 and 275 is: 410.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.08 : 478.87 = 275 : x
  2. Step 2: Convert to fraction form
    321.08/478.87 = 275/x
  3. Step 3: Cross multiply
    321.08x = 478.87 × 275
  4. Step 4: Simplify right side
    321.08x = 131,689.25
  5. Step 5: Solve for x
    x = 131,689.25/321.08
  6. Step 6: Final answer
    x = 410.14

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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.