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Finding the Fourth Proportional to 467.67, 645.50 and 320.25

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Solution

The fourth proportional to 467.67, 645.50 and 320.25 is: 442.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.67 : 645.50 = 320.25 : x
  2. Step 2: Convert to fraction form
    467.67/645.50 = 320.25/x
  3. Step 3: Cross multiply
    467.67x = 645.50 × 320.25
  4. Step 4: Simplify right side
    467.67x = 206,724.60
  5. Step 5: Solve for x
    x = 206,724.60/467.67
  6. Step 6: Final answer
    x = 442.03

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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.