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Finding the Fourth Proportional to 272, 374.84 and 219.76

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Solution

The fourth proportional to 272, 374.84 and 219.76 is: 302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    272 : 374.84 = 219.76 : x
  2. Step 2: Convert to fraction form
    272/374.84 = 219.76/x
  3. Step 3: Cross multiply
    272x = 374.84 × 219.76
  4. Step 4: Simplify right side
    272x = 82,374.84
  5. Step 5: Solve for x
    x = 82,374.84/272
  6. Step 6: Final answer
    x = 302.85

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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.