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Finding the Fourth Proportional to 466.91, 644.36 and 270.43

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Solution

The fourth proportional to 466.91, 644.36 and 270.43 is: 373.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.91 : 644.36 = 270.43 : x
  2. Step 2: Convert to fraction form
    466.91/644.36 = 270.43/x
  3. Step 3: Cross multiply
    466.91x = 644.36 × 270.43
  4. Step 4: Simplify right side
    466.91x = 174,254.27
  5. Step 5: Solve for x
    x = 174,254.27/466.91
  6. Step 6: Final answer
    x = 373.21

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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.