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Finding the Fourth Proportional to 546.85, 820.06 and 200.08

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Solution

The fourth proportional to 546.85, 820.06 and 200.08 is: 300.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.85 : 820.06 = 200.08 : x
  2. Step 2: Convert to fraction form
    546.85/820.06 = 200.08/x
  3. Step 3: Cross multiply
    546.85x = 820.06 × 200.08
  4. Step 4: Simplify right side
    546.85x = 164,077.60
  5. Step 5: Solve for x
    x = 164,077.60/546.85
  6. Step 6: Final answer
    x = 300.04

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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.