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Finding the Fourth Proportional to 546.84, 819.63 and 238.50

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Solution

The fourth proportional to 546.84, 819.63 and 238.50 is: 357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.84 : 819.63 = 238.50 : x
  2. Step 2: Convert to fraction form
    546.84/819.63 = 238.50/x
  3. Step 3: Cross multiply
    546.84x = 819.63 × 238.50
  4. Step 4: Simplify right side
    546.84x = 195,481.76
  5. Step 5: Solve for x
    x = 195,481.76/546.84
  6. Step 6: Final answer
    x = 357.48

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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.