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Finding the Fourth Proportional to 366.34, 505.46 and 272.76

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Solution

The fourth proportional to 366.34, 505.46 and 272.76 is: 376.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.34 : 505.46 = 272.76 : x
  2. Step 2: Convert to fraction form
    366.34/505.46 = 272.76/x
  3. Step 3: Cross multiply
    366.34x = 505.46 × 272.76
  4. Step 4: Simplify right side
    366.34x = 137,869.27
  5. Step 5: Solve for x
    x = 137,869.27/366.34
  6. Step 6: Final answer
    x = 376.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.