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Finding the Fourth Proportional to 464.08, 640.41 and 267.55

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Solution

The fourth proportional to 464.08, 640.41 and 267.55 is: 369.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.08 : 640.41 = 267.55 : x
  2. Step 2: Convert to fraction form
    464.08/640.41 = 267.55/x
  3. Step 3: Cross multiply
    464.08x = 640.41 × 267.55
  4. Step 4: Simplify right side
    464.08x = 171,341.70
  5. Step 5: Solve for x
    x = 171,341.70/464.08
  6. Step 6: Final answer
    x = 369.21

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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.