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Finding the Fourth Proportional to 320.58, 480.81 and 199.59

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Solution

The fourth proportional to 320.58, 480.81 and 199.59 is: 299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.58 : 480.81 = 199.59 : x
  2. Step 2: Convert to fraction form
    320.58/480.81 = 199.59/x
  3. Step 3: Cross multiply
    320.58x = 480.81 × 199.59
  4. Step 4: Simplify right side
    320.58x = 95,964.87
  5. Step 5: Solve for x
    x = 95,964.87/320.58
  6. Step 6: Final answer
    x = 299.35

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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.