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Finding the Fourth Proportional to 275.16, 410.74 and 255.12

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Solution

The fourth proportional to 275.16, 410.74 and 255.12 is: 380.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.16 : 410.74 = 255.12 : x
  2. Step 2: Convert to fraction form
    275.16/410.74 = 255.12/x
  3. Step 3: Cross multiply
    275.16x = 410.74 × 255.12
  4. Step 4: Simplify right side
    275.16x = 104,787.99
  5. Step 5: Solve for x
    x = 104,787.99/275.16
  6. Step 6: Final answer
    x = 380.83

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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.