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Finding the Fourth Proportional to 546.05, 819.11 and 328.16

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Solution

The fourth proportional to 546.05, 819.11 and 328.16 is: 492.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.05 : 819.11 = 328.16 : x
  2. Step 2: Convert to fraction form
    546.05/819.11 = 328.16/x
  3. Step 3: Cross multiply
    546.05x = 819.11 × 328.16
  4. Step 4: Simplify right side
    546.05x = 268,799.14
  5. Step 5: Solve for x
    x = 268,799.14/546.05
  6. Step 6: Final answer
    x = 492.26

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Double scale
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Similar ratio
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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.