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Finding the Fourth Proportional to 515.36, 772.80 and 173.28

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Solution

The fourth proportional to 515.36, 772.80 and 173.28 is: 259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.36 : 772.80 = 173.28 : x
  2. Step 2: Convert to fraction form
    515.36/772.80 = 173.28/x
  3. Step 3: Cross multiply
    515.36x = 772.80 × 173.28
  4. Step 4: Simplify right side
    515.36x = 133,910.78
  5. Step 5: Solve for x
    x = 133,910.78/515.36
  6. Step 6: Final answer
    x = 259.84

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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.