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Finding the Fourth Proportional to 366.82, 547.55 and 356.56

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Solution

The fourth proportional to 366.82, 547.55 and 356.56 is: 532.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.82 : 547.55 = 356.56 : x
  2. Step 2: Convert to fraction form
    366.82/547.55 = 356.56/x
  3. Step 3: Cross multiply
    366.82x = 547.55 × 356.56
  4. Step 4: Simplify right side
    366.82x = 195,234.43
  5. Step 5: Solve for x
    x = 195,234.43/366.82
  6. Step 6: Final answer
    x = 532.23

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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.