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Finding the Fourth Proportional to 272.94, 376.64 and 154.90

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Solution

The fourth proportional to 272.94, 376.64 and 154.90 is: 213.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.94 : 376.64 = 154.90 : x
  2. Step 2: Convert to fraction form
    272.94/376.64 = 154.90/x
  3. Step 3: Cross multiply
    272.94x = 376.64 × 154.90
  4. Step 4: Simplify right side
    272.94x = 58,340.98
  5. Step 5: Solve for x
    x = 58,340.98/272.94
  6. Step 6: Final answer
    x = 213.75

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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.