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Finding the Fourth Proportional to 466.78, 644.20 and 280.27

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Solution

The fourth proportional to 466.78, 644.20 and 280.27 is: 386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.78 : 644.20 = 280.27 : x
  2. Step 2: Convert to fraction form
    466.78/644.20 = 280.27/x
  3. Step 3: Cross multiply
    466.78x = 644.20 × 280.27
  4. Step 4: Simplify right side
    466.78x = 180,549.93
  5. Step 5: Solve for x
    x = 180,549.93/466.78
  6. Step 6: Final answer
    x = 386.80

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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.