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Finding the Fourth Proportional to 274.50, 411.80 and 130.22

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Solution

The fourth proportional to 274.50, 411.80 and 130.22 is: 195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.50 : 411.80 = 130.22 : x
  2. Step 2: Convert to fraction form
    274.50/411.80 = 130.22/x
  3. Step 3: Cross multiply
    274.50x = 411.80 × 130.22
  4. Step 4: Simplify right side
    274.50x = 53,624.33
  5. Step 5: Solve for x
    x = 53,624.33/274.50
  6. Step 6: Final answer
    x = 195.35

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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.