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Finding the Fourth Proportional to 546.88, 820.08 and 272.77

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Solution

The fourth proportional to 546.88, 820.08 and 272.77 is: 409.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.88 : 820.08 = 272.77 : x
  2. Step 2: Convert to fraction form
    546.88/820.08 = 272.77/x
  3. Step 3: Cross multiply
    546.88x = 820.08 × 272.77
  4. Step 4: Simplify right side
    546.88x = 223,693.22
  5. Step 5: Solve for x
    x = 223,693.22/546.88
  6. Step 6: Final answer
    x = 409.04

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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.