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Finding the Fourth Proportional to 274.36, 408.89 and 258.56

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Solution

The fourth proportional to 274.36, 408.89 and 258.56 is: 385.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.36 : 408.89 = 258.56 : x
  2. Step 2: Convert to fraction form
    274.36/408.89 = 258.56/x
  3. Step 3: Cross multiply
    274.36x = 408.89 × 258.56
  4. Step 4: Simplify right side
    274.36x = 105,722.60
  5. Step 5: Solve for x
    x = 105,722.60/274.36
  6. Step 6: Final answer
    x = 385.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.