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Finding the Fourth Proportional to 364.21, 546.31 and 147.78

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Solution

The fourth proportional to 364.21, 546.31 and 147.78 is: 221.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.21 : 546.31 = 147.78 : x
  2. Step 2: Convert to fraction form
    364.21/546.31 = 147.78/x
  3. Step 3: Cross multiply
    364.21x = 546.31 × 147.78
  4. Step 4: Simplify right side
    364.21x = 80,732.95
  5. Step 5: Solve for x
    x = 80,732.95/364.21
  6. Step 6: Final answer
    x = 221.67

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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.