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Finding the Fourth Proportional to 272.95, 376.17 and 217.46

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Solution

The fourth proportional to 272.95, 376.17 and 217.46 is: 299.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.95 : 376.17 = 217.46 : x
  2. Step 2: Convert to fraction form
    272.95/376.17 = 217.46/x
  3. Step 3: Cross multiply
    272.95x = 376.17 × 217.46
  4. Step 4: Simplify right side
    272.95x = 81,801.93
  5. Step 5: Solve for x
    x = 81,801.93/272.95
  6. Step 6: Final answer
    x = 299.70

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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.