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Finding the Fourth Proportional to 466.98, 644.41 and 257.19

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Solution

The fourth proportional to 466.98, 644.41 and 257.19 is: 354.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.98 : 644.41 = 257.19 : x
  2. Step 2: Convert to fraction form
    466.98/644.41 = 257.19/x
  3. Step 3: Cross multiply
    466.98x = 644.41 × 257.19
  4. Step 4: Simplify right side
    466.98x = 165,735.81
  5. Step 5: Solve for x
    x = 165,735.81/466.98
  6. Step 6: Final answer
    x = 354.91

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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.