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Finding the Fourth Proportional to 258.98, 389.13 and 137.32

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Solution

The fourth proportional to 258.98, 389.13 and 137.32 is: 206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.98 : 389.13 = 137.32 : x
  2. Step 2: Convert to fraction form
    258.98/389.13 = 137.32/x
  3. Step 3: Cross multiply
    258.98x = 389.13 × 137.32
  4. Step 4: Simplify right side
    258.98x = 53,435.33
  5. Step 5: Solve for x
    x = 53,435.33/258.98
  6. Step 6: Final answer
    x = 206.33

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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.