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Finding the Fourth Proportional to 279.26, 416.52 and 274.40

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Solution

The fourth proportional to 279.26, 416.52 and 274.40 is: 409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.26 : 416.52 = 274.40 : x
  2. Step 2: Convert to fraction form
    279.26/416.52 = 274.40/x
  3. Step 3: Cross multiply
    279.26x = 416.52 × 274.40
  4. Step 4: Simplify right side
    279.26x = 114,293.09
  5. Step 5: Solve for x
    x = 114,293.09/279.26
  6. Step 6: Final answer
    x = 409.27

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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.