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Finding the Fourth Proportional to 551.50, 827.28 and 166.78

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Solution

The fourth proportional to 551.50, 827.28 and 166.78 is: 250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.50 : 827.28 = 166.78 : x
  2. Step 2: Convert to fraction form
    551.50/827.28 = 166.78/x
  3. Step 3: Cross multiply
    551.50x = 827.28 × 166.78
  4. Step 4: Simplify right side
    551.50x = 137,973.76
  5. Step 5: Solve for x
    x = 137,973.76/551.50
  6. Step 6: Final answer
    x = 250.18

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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.