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Finding the Fourth Proportional to 274.69, 411.72 and 144.82

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Solution

The fourth proportional to 274.69, 411.72 and 144.82 is: 217.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.69 : 411.72 = 144.82 : x
  2. Step 2: Convert to fraction form
    274.69/411.72 = 144.82/x
  3. Step 3: Cross multiply
    274.69x = 411.72 × 144.82
  4. Step 4: Simplify right side
    274.69x = 59,625.29
  5. Step 5: Solve for x
    x = 59,625.29/274.69
  6. Step 6: Final answer
    x = 217.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.