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Finding the Fourth Proportional to 463.58, 639.66 and 264.42

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Solution

The fourth proportional to 463.58, 639.66 and 264.42 is: 364.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.58 : 639.66 = 264.42 : x
  2. Step 2: Convert to fraction form
    463.58/639.66 = 264.42/x
  3. Step 3: Cross multiply
    463.58x = 639.66 × 264.42
  4. Step 4: Simplify right side
    463.58x = 169,138.90
  5. Step 5: Solve for x
    x = 169,138.90/463.58
  6. Step 6: Final answer
    x = 364.85

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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.