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Finding the Fourth Proportional to 366.87, 546.18 and 361.74

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Solution

The fourth proportional to 366.87, 546.18 and 361.74 is: 538.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.87 : 546.18 = 361.74 : x
  2. Step 2: Convert to fraction form
    366.87/546.18 = 361.74/x
  3. Step 3: Cross multiply
    366.87x = 546.18 × 361.74
  4. Step 4: Simplify right side
    366.87x = 197,575.84
  5. Step 5: Solve for x
    x = 197,575.84/366.87
  6. Step 6: Final answer
    x = 538.54

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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.