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Finding the Fourth Proportional to 366.20, 546.64 and 339.50

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Solution

The fourth proportional to 366.20, 546.64 and 339.50 is: 506.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.20 : 546.64 = 339.50 : x
  2. Step 2: Convert to fraction form
    366.20/546.64 = 339.50/x
  3. Step 3: Cross multiply
    366.20x = 546.64 × 339.50
  4. Step 4: Simplify right side
    366.20x = 185,584.28
  5. Step 5: Solve for x
    x = 185,584.28/366.20
  6. Step 6: Final answer
    x = 506.78

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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.