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Finding the Fourth Proportional to 322.47, 480.33 and 320.04

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Solution

The fourth proportional to 322.47, 480.33 and 320.04 is: 476.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.47 : 480.33 = 320.04 : x
  2. Step 2: Convert to fraction form
    322.47/480.33 = 320.04/x
  3. Step 3: Cross multiply
    322.47x = 480.33 × 320.04
  4. Step 4: Simplify right side
    322.47x = 153,724.81
  5. Step 5: Solve for x
    x = 153,724.81/322.47
  6. Step 6: Final answer
    x = 476.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.