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Finding the Fourth Proportional to 551.27, 827.01 and 308.07

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Solution

The fourth proportional to 551.27, 827.01 and 308.07 is: 462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.27 : 827.01 = 308.07 : x
  2. Step 2: Convert to fraction form
    551.27/827.01 = 308.07/x
  3. Step 3: Cross multiply
    551.27x = 827.01 × 308.07
  4. Step 4: Simplify right side
    551.27x = 254,776.97
  5. Step 5: Solve for x
    x = 254,776.97/551.27
  6. Step 6: Final answer
    x = 462.16

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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.