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Finding the Fourth Proportional to 320.09, 439.13 and 304.60

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Solution

The fourth proportional to 320.09, 439.13 and 304.60 is: 417.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.09 : 439.13 = 304.60 : x
  2. Step 2: Convert to fraction form
    320.09/439.13 = 304.60/x
  3. Step 3: Cross multiply
    320.09x = 439.13 × 304.60
  4. Step 4: Simplify right side
    320.09x = 133,756.80
  5. Step 5: Solve for x
    x = 133,756.80/320.09
  6. Step 6: Final answer
    x = 417.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.