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Finding the Fourth Proportional to 463.66, 639.81 and 264.44

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Solution

The fourth proportional to 463.66, 639.81 and 264.44 is: 364.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.66 : 639.81 = 264.44 : x
  2. Step 2: Convert to fraction form
    463.66/639.81 = 264.44/x
  3. Step 3: Cross multiply
    463.66x = 639.81 × 264.44
  4. Step 4: Simplify right side
    463.66x = 169,191.36
  5. Step 5: Solve for x
    x = 169,191.36/463.66
  6. Step 6: Final answer
    x = 364.90

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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.