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Finding the Fourth Proportional to 546.06, 819.09 and 221.66

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Solution

The fourth proportional to 546.06, 819.09 and 221.66 is: 332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.06 : 819.09 = 221.66 : x
  2. Step 2: Convert to fraction form
    546.06/819.09 = 221.66/x
  3. Step 3: Cross multiply
    546.06x = 819.09 × 221.66
  4. Step 4: Simplify right side
    546.06x = 181,559.49
  5. Step 5: Solve for x
    x = 181,559.49/546.06
  6. Step 6: Final answer
    x = 332.49

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Double scale
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Similar ratio
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1.5x scale

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.