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Finding the Fourth Proportional to 480.45, 720.07 and 206.22

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Solution

The fourth proportional to 480.45, 720.07 and 206.22 is: 309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.45 : 720.07 = 206.22 : x
  2. Step 2: Convert to fraction form
    480.45/720.07 = 206.22/x
  3. Step 3: Cross multiply
    480.45x = 720.07 × 206.22
  4. Step 4: Simplify right side
    480.45x = 148,492.84
  5. Step 5: Solve for x
    x = 148,492.84/480.45
  6. Step 6: Final answer
    x = 309.07

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