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Finding the Fourth Proportional to 320.38, 479.64 and 243.65

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Solution

The fourth proportional to 320.38, 479.64 and 243.65 is: 364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.38 : 479.64 = 243.65 : x
  2. Step 2: Convert to fraction form
    320.38/479.64 = 243.65/x
  3. Step 3: Cross multiply
    320.38x = 479.64 × 243.65
  4. Step 4: Simplify right side
    320.38x = 116,863.70
  5. Step 5: Solve for x
    x = 116,863.70/320.38
  6. Step 6: Final answer
    x = 364.76

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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.