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Finding the Fourth Proportional to 497.37, 685.91 and 338.10

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Solution

The fourth proportional to 497.37, 685.91 and 338.10 is: 466.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.37 : 685.91 = 338.10 : x
  2. Step 2: Convert to fraction form
    497.37/685.91 = 338.10/x
  3. Step 3: Cross multiply
    497.37x = 685.91 × 338.10
  4. Step 4: Simplify right side
    497.37x = 231,905.08
  5. Step 5: Solve for x
    x = 231,905.08/497.37
  6. Step 6: Final answer
    x = 466.26

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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.