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Finding the Fourth Proportional to 466.62, 644.94 and 349.98

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Solution

The fourth proportional to 466.62, 644.94 and 349.98 is: 483.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.62 : 644.94 = 349.98 : x
  2. Step 2: Convert to fraction form
    466.62/644.94 = 349.98/x
  3. Step 3: Cross multiply
    466.62x = 644.94 × 349.98
  4. Step 4: Simplify right side
    466.62x = 225,716.10
  5. Step 5: Solve for x
    x = 225,716.10/466.62
  6. Step 6: Final answer
    x = 483.73

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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.