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Finding the Fourth Proportional to 466.22, 644.55 and 349.58

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Solution

The fourth proportional to 466.22, 644.55 and 349.58 is: 483.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.22 : 644.55 = 349.58 : x
  2. Step 2: Convert to fraction form
    466.22/644.55 = 349.58/x
  3. Step 3: Cross multiply
    466.22x = 644.55 × 349.58
  4. Step 4: Simplify right side
    466.22x = 225,321.79
  5. Step 5: Solve for x
    x = 225,321.79/466.22
  6. Step 6: Final answer
    x = 483.29

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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.