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Finding the Fourth Proportional to 480.20, 662.72 and 332.91

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Solution

The fourth proportional to 480.20, 662.72 and 332.91 is: 459.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.20 : 662.72 = 332.91 : x
  2. Step 2: Convert to fraction form
    480.20/662.72 = 332.91/x
  3. Step 3: Cross multiply
    480.20x = 662.72 × 332.91
  4. Step 4: Simplify right side
    480.20x = 220,624.45
  5. Step 5: Solve for x
    x = 220,624.45/480.20
  6. Step 6: Final answer
    x = 459.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.