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Finding the Fourth Proportional to 480.53, 720.82 and 206.43

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Solution

The fourth proportional to 480.53, 720.82 and 206.43 is: 309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.53 : 720.82 = 206.43 : x
  2. Step 2: Convert to fraction form
    480.53/720.82 = 206.43/x
  3. Step 3: Cross multiply
    480.53x = 720.82 × 206.43
  4. Step 4: Simplify right side
    480.53x = 148,798.87
  5. Step 5: Solve for x
    x = 148,798.87/480.53
  6. Step 6: Final answer
    x = 309.66

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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.