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Finding the Fourth Proportional to 274.17, 378.75 and 218.84

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Solution

The fourth proportional to 274.17, 378.75 and 218.84 is: 302.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.17 : 378.75 = 218.84 : x
  2. Step 2: Convert to fraction form
    274.17/378.75 = 218.84/x
  3. Step 3: Cross multiply
    274.17x = 378.75 × 218.84
  4. Step 4: Simplify right side
    274.17x = 82,883.76
  5. Step 5: Solve for x
    x = 82,883.76/274.17
  6. Step 6: Final answer
    x = 302.31

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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.