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Finding the Fourth Proportional to 274.59, 378.71 and 181.35

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Solution

The fourth proportional to 274.59, 378.71 and 181.35 is: 250.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.59 : 378.71 = 181.35 : x
  2. Step 2: Convert to fraction form
    274.59/378.71 = 181.35/x
  3. Step 3: Cross multiply
    274.59x = 378.71 × 181.35
  4. Step 4: Simplify right side
    274.59x = 68,679.06
  5. Step 5: Solve for x
    x = 68,679.06/274.59
  6. Step 6: Final answer
    x = 250.11

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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.