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Finding the Fourth Proportional to 463.80, 640.02 and 267.33

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Solution

The fourth proportional to 463.80, 640.02 and 267.33 is: 368.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.80 : 640.02 = 267.33 : x
  2. Step 2: Convert to fraction form
    463.80/640.02 = 267.33/x
  3. Step 3: Cross multiply
    463.80x = 640.02 × 267.33
  4. Step 4: Simplify right side
    463.80x = 171,096.55
  5. Step 5: Solve for x
    x = 171,096.55/463.80
  6. Step 6: Final answer
    x = 368.90

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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.