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Finding the Fourth Proportional to 547.42, 821.45 and 205.66

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Solution

The fourth proportional to 547.42, 821.45 and 205.66 is: 308.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.42 : 821.45 = 205.66 : x
  2. Step 2: Convert to fraction form
    547.42/821.45 = 205.66/x
  3. Step 3: Cross multiply
    547.42x = 821.45 × 205.66
  4. Step 4: Simplify right side
    547.42x = 168,939.41
  5. Step 5: Solve for x
    x = 168,939.41/547.42
  6. Step 6: Final answer
    x = 308.61

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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.