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Finding the Fourth Proportional to 274.38, 411.30 and 130.20

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Solution

The fourth proportional to 274.38, 411.30 and 130.20 is: 195.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.38 : 411.30 = 130.20 : x
  2. Step 2: Convert to fraction form
    274.38/411.30 = 130.20/x
  3. Step 3: Cross multiply
    274.38x = 411.30 × 130.20
  4. Step 4: Simplify right side
    274.38x = 53,551.26
  5. Step 5: Solve for x
    x = 53,551.26/274.38
  6. Step 6: Final answer
    x = 195.17

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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.