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Finding the Fourth Proportional to 546.90, 820.33 and 136.04

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Solution

The fourth proportional to 546.90, 820.33 and 136.04 is: 204.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.90 : 820.33 = 136.04 : x
  2. Step 2: Convert to fraction form
    546.90/820.33 = 136.04/x
  3. Step 3: Cross multiply
    546.90x = 820.33 × 136.04
  4. Step 4: Simplify right side
    546.90x = 111,594.02
  5. Step 5: Solve for x
    x = 111,594.02/546.90
  6. Step 6: Final answer
    x = 204.05

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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.