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Finding the Fourth Proportional to 547.36, 820.68 and 177.04

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Solution

The fourth proportional to 547.36, 820.68 and 177.04 is: 265.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.36 : 820.68 = 177.04 : x
  2. Step 2: Convert to fraction form
    547.36/820.68 = 177.04/x
  3. Step 3: Cross multiply
    547.36x = 820.68 × 177.04
  4. Step 4: Simplify right side
    547.36x = 145,289.93
  5. Step 5: Solve for x
    x = 145,289.93/547.36
  6. Step 6: Final answer
    x = 265.44

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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.