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Finding the Fourth Proportional to 480.16, 720.48 and 297.68

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Solution

The fourth proportional to 480.16, 720.48 and 297.68 is: 446.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.16 : 720.48 = 297.68 : x
  2. Step 2: Convert to fraction form
    480.16/720.48 = 297.68/x
  3. Step 3: Cross multiply
    480.16x = 720.48 × 297.68
  4. Step 4: Simplify right side
    480.16x = 214,472.49
  5. Step 5: Solve for x
    x = 214,472.49/480.16
  6. Step 6: Final answer
    x = 446.67

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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.