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Finding the Fourth Proportional to 322.37, 480.71 and 319.44

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Solution

The fourth proportional to 322.37, 480.71 and 319.44 is: 476.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.37 : 480.71 = 319.44 : x
  2. Step 2: Convert to fraction form
    322.37/480.71 = 319.44/x
  3. Step 3: Cross multiply
    322.37x = 480.71 × 319.44
  4. Step 4: Simplify right side
    322.37x = 153,558.80
  5. Step 5: Solve for x
    x = 153,558.80/322.37
  6. Step 6: Final answer
    x = 476.35

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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.