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Finding the Fourth Proportional to 406.18, 560.31 and 331.60

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Solution

The fourth proportional to 406.18, 560.31 and 331.60 is: 457.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.18 : 560.31 = 331.60 : x
  2. Step 2: Convert to fraction form
    406.18/560.31 = 331.60/x
  3. Step 3: Cross multiply
    406.18x = 560.31 × 331.60
  4. Step 4: Simplify right side
    406.18x = 185,798.80
  5. Step 5: Solve for x
    x = 185,798.80/406.18
  6. Step 6: Final answer
    x = 457.43

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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.