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Finding the Fourth Proportional to 274.74, 409.68 and 260.34

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Solution

The fourth proportional to 274.74, 409.68 and 260.34 is: 388.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.74 : 409.68 = 260.34 : x
  2. Step 2: Convert to fraction form
    274.74/409.68 = 260.34/x
  3. Step 3: Cross multiply
    274.74x = 409.68 × 260.34
  4. Step 4: Simplify right side
    274.74x = 106,656.09
  5. Step 5: Solve for x
    x = 106,656.09/274.74
  6. Step 6: Final answer
    x = 388.21

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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.