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Finding the Fourth Proportional to 274.59, 414.14 and 259.79

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Solution

The fourth proportional to 274.59, 414.14 and 259.79 is: 391.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.59 : 414.14 = 259.79 : x
  2. Step 2: Convert to fraction form
    274.59/414.14 = 259.79/x
  3. Step 3: Cross multiply
    274.59x = 414.14 × 259.79
  4. Step 4: Simplify right side
    274.59x = 107,586.06
  5. Step 5: Solve for x
    x = 107,586.06/274.59
  6. Step 6: Final answer
    x = 391.81

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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.