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Finding the Fourth Proportional to 480.33, 662.87 and 293.90

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Solution

The fourth proportional to 480.33, 662.87 and 293.90 is: 405.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.33 : 662.87 = 293.90 : x
  2. Step 2: Convert to fraction form
    480.33/662.87 = 293.90/x
  3. Step 3: Cross multiply
    480.33x = 662.87 × 293.90
  4. Step 4: Simplify right side
    480.33x = 194,819.88
  5. Step 5: Solve for x
    x = 194,819.88/480.33
  6. Step 6: Final answer
    x = 405.60

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