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Finding the Fourth Proportional to 546.10, 819.19 and 271.93

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Solution

The fourth proportional to 546.10, 819.19 and 271.93 is: 407.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.10 : 819.19 = 271.93 : x
  2. Step 2: Convert to fraction form
    546.10/819.19 = 271.93/x
  3. Step 3: Cross multiply
    546.10x = 819.19 × 271.93
  4. Step 4: Simplify right side
    546.10x = 222,762.34
  5. Step 5: Solve for x
    x = 222,762.34/546.10
  6. Step 6: Final answer
    x = 407.91

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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.