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Finding the Fourth Proportional to 547.28, 821 and 162.48

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Solution

The fourth proportional to 547.28, 821 and 162.48 is: 243.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.28 : 821 = 162.48 : x
  2. Step 2: Convert to fraction form
    547.28/821 = 162.48/x
  3. Step 3: Cross multiply
    547.28x = 821 × 162.48
  4. Step 4: Simplify right side
    547.28x = 133,396.08
  5. Step 5: Solve for x
    x = 133,396.08/547.28
  6. Step 6: Final answer
    x = 243.74

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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.