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Finding the Fourth Proportional to 322.60, 480.69 and 310.44

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Solution

The fourth proportional to 322.60, 480.69 and 310.44 is: 462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.60 : 480.69 = 310.44 : x
  2. Step 2: Convert to fraction form
    322.60/480.69 = 310.44/x
  3. Step 3: Cross multiply
    322.60x = 480.69 × 310.44
  4. Step 4: Simplify right side
    322.60x = 149,225.40
  5. Step 5: Solve for x
    x = 149,225.40/322.60
  6. Step 6: Final answer
    x = 462.57

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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.