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Finding the Fourth Proportional to 480.85, 721.68 and 207.15

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Solution

The fourth proportional to 480.85, 721.68 and 207.15 is: 310.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.85 : 721.68 = 207.15 : x
  2. Step 2: Convert to fraction form
    480.85/721.68 = 207.15/x
  3. Step 3: Cross multiply
    480.85x = 721.68 × 207.15
  4. Step 4: Simplify right side
    480.85x = 149,496.01
  5. Step 5: Solve for x
    x = 149,496.01/480.85
  6. Step 6: Final answer
    x = 310.90

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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.