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Finding the Fourth Proportional to 331.51, 497.09 and 139.09

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Solution

The fourth proportional to 331.51, 497.09 and 139.09 is: 208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.51 : 497.09 = 139.09 : x
  2. Step 2: Convert to fraction form
    331.51/497.09 = 139.09/x
  3. Step 3: Cross multiply
    331.51x = 497.09 × 139.09
  4. Step 4: Simplify right side
    331.51x = 69,139.55
  5. Step 5: Solve for x
    x = 69,139.55/331.51
  6. Step 6: Final answer
    x = 208.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.