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Finding the Fourth Proportional to 322.14, 479.80 and 320.59

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Solution

The fourth proportional to 322.14, 479.80 and 320.59 is: 477.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.14 : 479.80 = 320.59 : x
  2. Step 2: Convert to fraction form
    322.14/479.80 = 320.59/x
  3. Step 3: Cross multiply
    322.14x = 479.80 × 320.59
  4. Step 4: Simplify right side
    322.14x = 153,819.08
  5. Step 5: Solve for x
    x = 153,819.08/322.14
  6. Step 6: Final answer
    x = 477.49

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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.