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Finding the Fourth Proportional to 366.12, 546.24 and 338.78

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Solution

The fourth proportional to 366.12, 546.24 and 338.78 is: 505.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.12 : 546.24 = 338.78 : x
  2. Step 2: Convert to fraction form
    366.12/546.24 = 338.78/x
  3. Step 3: Cross multiply
    366.12x = 546.24 × 338.78
  4. Step 4: Simplify right side
    366.12x = 185,057.82
  5. Step 5: Solve for x
    x = 185,057.82/366.12
  6. Step 6: Final answer
    x = 505.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.