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Finding the Fourth Proportional to 467.16, 645.84 and 350.52

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Solution

The fourth proportional to 467.16, 645.84 and 350.52 is: 484.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.16 : 645.84 = 350.52 : x
  2. Step 2: Convert to fraction form
    467.16/645.84 = 350.52/x
  3. Step 3: Cross multiply
    467.16x = 645.84 × 350.52
  4. Step 4: Simplify right side
    467.16x = 226,379.54
  5. Step 5: Solve for x
    x = 226,379.54/467.16
  6. Step 6: Final answer
    x = 484.59

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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.