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Finding the Fourth Proportional to 322.85, 480.96 and 307.37

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Solution

The fourth proportional to 322.85, 480.96 and 307.37 is: 457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.85 : 480.96 = 307.37 : x
  2. Step 2: Convert to fraction form
    322.85/480.96 = 307.37/x
  3. Step 3: Cross multiply
    322.85x = 480.96 × 307.37
  4. Step 4: Simplify right side
    322.85x = 147,832.68
  5. Step 5: Solve for x
    x = 147,832.68/322.85
  6. Step 6: Final answer
    x = 457.90

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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.