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Finding the Fourth Proportional to 321.55, 446.81 and 318.20

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Solution

The fourth proportional to 321.55, 446.81 and 318.20 is: 442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.55 : 446.81 = 318.20 : x
  2. Step 2: Convert to fraction form
    321.55/446.81 = 318.20/x
  3. Step 3: Cross multiply
    321.55x = 446.81 × 318.20
  4. Step 4: Simplify right side
    321.55x = 142,174.94
  5. Step 5: Solve for x
    x = 142,174.94/321.55
  6. Step 6: Final answer
    x = 442.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.