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Finding the Fourth Proportional to 329.08, 453.83 and 302.91

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Solution

The fourth proportional to 329.08, 453.83 and 302.91 is: 417.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.08 : 453.83 = 302.91 : x
  2. Step 2: Convert to fraction form
    329.08/453.83 = 302.91/x
  3. Step 3: Cross multiply
    329.08x = 453.83 × 302.91
  4. Step 4: Simplify right side
    329.08x = 137,467.28
  5. Step 5: Solve for x
    x = 137,467.28/329.08
  6. Step 6: Final answer
    x = 417.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.