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Finding the Fourth Proportional to 515.41, 772.48 and 271.78

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Solution

The fourth proportional to 515.41, 772.48 and 271.78 is: 407.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.41 : 772.48 = 271.78 : x
  2. Step 2: Convert to fraction form
    515.41/772.48 = 271.78/x
  3. Step 3: Cross multiply
    515.41x = 772.48 × 271.78
  4. Step 4: Simplify right side
    515.41x = 209,943.02
  5. Step 5: Solve for x
    x = 209,943.02/515.41
  6. Step 6: Final answer
    x = 407.33

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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.