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Finding the Fourth Proportional to 480.37, 720.46 and 168.06

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Solution

The fourth proportional to 480.37, 720.46 and 168.06 is: 252.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.37 : 720.46 = 168.06 : x
  2. Step 2: Convert to fraction form
    480.37/720.46 = 168.06/x
  3. Step 3: Cross multiply
    480.37x = 720.46 × 168.06
  4. Step 4: Simplify right side
    480.37x = 121,080.09
  5. Step 5: Solve for x
    x = 121,080.09/480.37
  6. Step 6: Final answer
    x = 252.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.