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Finding the Fourth Proportional to 464.33, 640.64 and 267.84

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Solution

The fourth proportional to 464.33, 640.64 and 267.84 is: 369.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.33 : 640.64 = 267.84 : x
  2. Step 2: Convert to fraction form
    464.33/640.64 = 267.84/x
  3. Step 3: Cross multiply
    464.33x = 640.64 × 267.84
  4. Step 4: Simplify right side
    464.33x = 171,589.69
  5. Step 5: Solve for x
    x = 171,589.69/464.33
  6. Step 6: Final answer
    x = 369.54

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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.