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Finding the Fourth Proportional to 546.78, 820.19 and 221.93

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Solution

The fourth proportional to 546.78, 820.19 and 221.93 is: 332.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.78 : 820.19 = 221.93 : x
  2. Step 2: Convert to fraction form
    546.78/820.19 = 221.93/x
  3. Step 3: Cross multiply
    546.78x = 820.19 × 221.93
  4. Step 4: Simplify right side
    546.78x = 182,024.77
  5. Step 5: Solve for x
    x = 182,024.77/546.78
  6. Step 6: Final answer
    x = 332.90

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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.