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Finding the Fourth Proportional to 546.19, 819.25 and 135.31

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Solution

The fourth proportional to 546.19, 819.25 and 135.31 is: 202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.19 : 819.25 = 135.31 : x
  2. Step 2: Convert to fraction form
    546.19/819.25 = 135.31/x
  3. Step 3: Cross multiply
    546.19x = 819.25 × 135.31
  4. Step 4: Simplify right side
    546.19x = 110,852.72
  5. Step 5: Solve for x
    x = 110,852.72/546.19
  6. Step 6: Final answer
    x = 202.96

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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.