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Finding the Fourth Proportional to 259.97, 389.97 and 138.06

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Solution

The fourth proportional to 259.97, 389.97 and 138.06 is: 207.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.97 : 389.97 = 138.06 : x
  2. Step 2: Convert to fraction form
    259.97/389.97 = 138.06/x
  3. Step 3: Cross multiply
    259.97x = 389.97 × 138.06
  4. Step 4: Simplify right side
    259.97x = 53,839.26
  5. Step 5: Solve for x
    x = 53,839.26/259.97
  6. Step 6: Final answer
    x = 207.10

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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.