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Finding the Fourth Proportional to 466.91, 644.30 and 257.07

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Solution

The fourth proportional to 466.91, 644.30 and 257.07 is: 354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.91 : 644.30 = 257.07 : x
  2. Step 2: Convert to fraction form
    466.91/644.30 = 257.07/x
  3. Step 3: Cross multiply
    466.91x = 644.30 × 257.07
  4. Step 4: Simplify right side
    466.91x = 165,633.74
  5. Step 5: Solve for x
    x = 165,633.74/466.91
  6. Step 6: Final answer
    x = 354.74

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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.