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Finding the Fourth Proportional to 480.21, 720.27 and 297.63

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Solution

The fourth proportional to 480.21, 720.27 and 297.63 is: 446.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.21 : 720.27 = 297.63 : x
  2. Step 2: Convert to fraction form
    480.21/720.27 = 297.63/x
  3. Step 3: Cross multiply
    480.21x = 720.27 × 297.63
  4. Step 4: Simplify right side
    480.21x = 214,373.96
  5. Step 5: Solve for x
    x = 214,373.96/480.21
  6. Step 6: Final answer
    x = 446.42

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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.