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Finding the Fourth Proportional to 274.81, 379.33 and 218.90

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Solution

The fourth proportional to 274.81, 379.33 and 218.90 is: 302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.81 : 379.33 = 218.90 : x
  2. Step 2: Convert to fraction form
    274.81/379.33 = 218.90/x
  3. Step 3: Cross multiply
    274.81x = 379.33 × 218.90
  4. Step 4: Simplify right side
    274.81x = 83,035.34
  5. Step 5: Solve for x
    x = 83,035.34/274.81
  6. Step 6: Final answer
    x = 302.16

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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.