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Finding the Fourth Proportional to 274.80, 414.48 and 256.80

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Solution

The fourth proportional to 274.80, 414.48 and 256.80 is: 387.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.80 : 414.48 = 256.80 : x
  2. Step 2: Convert to fraction form
    274.80/414.48 = 256.80/x
  3. Step 3: Cross multiply
    274.80x = 414.48 × 256.80
  4. Step 4: Simplify right side
    274.80x = 106,438.46
  5. Step 5: Solve for x
    x = 106,438.46/274.80
  6. Step 6: Final answer
    x = 387.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.