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Finding the Fourth Proportional to 320.43, 480.67 and 125.49

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Solution

The fourth proportional to 320.43, 480.67 and 125.49 is: 188.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.43 : 480.67 = 125.49 : x
  2. Step 2: Convert to fraction form
    320.43/480.67 = 125.49/x
  3. Step 3: Cross multiply
    320.43x = 480.67 × 125.49
  4. Step 4: Simplify right side
    320.43x = 60,318.96
  5. Step 5: Solve for x
    x = 60,318.96/320.43
  6. Step 6: Final answer
    x = 188.24

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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.