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Finding the Fourth Proportional to 274.16, 377.88 and 218.72

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Solution

The fourth proportional to 274.16, 377.88 and 218.72 is: 301.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.16 : 377.88 = 218.72 : x
  2. Step 2: Convert to fraction form
    274.16/377.88 = 218.72/x
  3. Step 3: Cross multiply
    274.16x = 377.88 × 218.72
  4. Step 4: Simplify right side
    274.16x = 82,649.91
  5. Step 5: Solve for x
    x = 82,649.91/274.16
  6. Step 6: Final answer
    x = 301.47

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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.