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Finding the Fourth Proportional to 322.33, 480.88 and 295.90

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Solution

The fourth proportional to 322.33, 480.88 and 295.90 is: 441.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.33 : 480.88 = 295.90 : x
  2. Step 2: Convert to fraction form
    322.33/480.88 = 295.90/x
  3. Step 3: Cross multiply
    322.33x = 480.88 × 295.90
  4. Step 4: Simplify right side
    322.33x = 142,292.39
  5. Step 5: Solve for x
    x = 142,292.39/322.33
  6. Step 6: Final answer
    x = 441.45

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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.