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Finding the Fourth Proportional to 480.40, 662.78 and 293.83

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Solution

The fourth proportional to 480.40, 662.78 and 293.83 is: 405.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.40 : 662.78 = 293.83 : x
  2. Step 2: Convert to fraction form
    480.40/662.78 = 293.83/x
  3. Step 3: Cross multiply
    480.40x = 662.78 × 293.83
  4. Step 4: Simplify right side
    480.40x = 194,743.73
  5. Step 5: Solve for x
    x = 194,743.73/480.40
  6. Step 6: Final answer
    x = 405.38

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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.