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Finding the Fourth Proportional to 240.54, 359.89 and 137.87

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Solution

The fourth proportional to 240.54, 359.89 and 137.87 is: 206.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.54 : 359.89 = 137.87 : x
  2. Step 2: Convert to fraction form
    240.54/359.89 = 137.87/x
  3. Step 3: Cross multiply
    240.54x = 359.89 × 137.87
  4. Step 4: Simplify right side
    240.54x = 49,618.03
  5. Step 5: Solve for x
    x = 49,618.03/240.54
  6. Step 6: Final answer
    x = 206.28

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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.