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Finding the Fourth Proportional to 321.84, 483.17 and 297.54

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Solution

The fourth proportional to 321.84, 483.17 and 297.54 is: 446.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.84 : 483.17 = 297.54 : x
  2. Step 2: Convert to fraction form
    321.84/483.17 = 297.54/x
  3. Step 3: Cross multiply
    321.84x = 483.17 × 297.54
  4. Step 4: Simplify right side
    321.84x = 143,760.91
  5. Step 5: Solve for x
    x = 143,760.91/321.84
  6. Step 6: Final answer
    x = 446.68

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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.