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Finding the Fourth Proportional to 551.77, 827.28 and 258.97

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Solution

The fourth proportional to 551.77, 827.28 and 258.97 is: 388.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.77 : 827.28 = 258.97 : x
  2. Step 2: Convert to fraction form
    551.77/827.28 = 258.97/x
  3. Step 3: Cross multiply
    551.77x = 827.28 × 258.97
  4. Step 4: Simplify right side
    551.77x = 214,240.70
  5. Step 5: Solve for x
    x = 214,240.70/551.77
  6. Step 6: Final answer
    x = 388.28

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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.