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Finding the Fourth Proportional to 547.69, 821.52 and 136.82

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Solution

The fourth proportional to 547.69, 821.52 and 136.82 is: 205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.69 : 821.52 = 136.82 : x
  2. Step 2: Convert to fraction form
    547.69/821.52 = 136.82/x
  3. Step 3: Cross multiply
    547.69x = 821.52 × 136.82
  4. Step 4: Simplify right side
    547.69x = 112,402.42
  5. Step 5: Solve for x
    x = 112,402.42/547.69
  6. Step 6: Final answer
    x = 205.23

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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.