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Finding the Fourth Proportional to 274.49, 411.78 and 130.13

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Solution

The fourth proportional to 274.49, 411.78 and 130.13 is: 195.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.49 : 411.78 = 130.13 : x
  2. Step 2: Convert to fraction form
    274.49/411.78 = 130.13/x
  3. Step 3: Cross multiply
    274.49x = 411.78 × 130.13
  4. Step 4: Simplify right side
    274.49x = 53,584.93
  5. Step 5: Solve for x
    x = 53,584.93/274.49
  6. Step 6: Final answer
    x = 195.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.