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Finding the Fourth Proportional to 275.18, 410.50 and 255.54

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Solution

The fourth proportional to 275.18, 410.50 and 255.54 is: 381.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.18 : 410.50 = 255.54 : x
  2. Step 2: Convert to fraction form
    275.18/410.50 = 255.54/x
  3. Step 3: Cross multiply
    275.18x = 410.50 × 255.54
  4. Step 4: Simplify right side
    275.18x = 104,899.17
  5. Step 5: Solve for x
    x = 104,899.17/275.18
  6. Step 6: Final answer
    x = 381.20

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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.