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Finding the Fourth Proportional to 467.66, 645.49 and 310.22

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Solution

The fourth proportional to 467.66, 645.49 and 310.22 is: 428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.66 : 645.49 = 310.22 : x
  2. Step 2: Convert to fraction form
    467.66/645.49 = 310.22/x
  3. Step 3: Cross multiply
    467.66x = 645.49 × 310.22
  4. Step 4: Simplify right side
    467.66x = 200,243.49
  5. Step 5: Solve for x
    x = 200,243.49/467.66
  6. Step 6: Final answer
    x = 428.18

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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.