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Finding the Fourth Proportional to 275.17, 380.13 and 219.84

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Solution

The fourth proportional to 275.17, 380.13 and 219.84 is: 303.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.17 : 380.13 = 219.84 : x
  2. Step 2: Convert to fraction form
    275.17/380.13 = 219.84/x
  3. Step 3: Cross multiply
    275.17x = 380.13 × 219.84
  4. Step 4: Simplify right side
    275.17x = 83,567.78
  5. Step 5: Solve for x
    x = 83,567.78/275.17
  6. Step 6: Final answer
    x = 303.70

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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.