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Finding the Fourth Proportional to 274.87, 412.15 and 144.55

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Solution

The fourth proportional to 274.87, 412.15 and 144.55 is: 216.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.87 : 412.15 = 144.55 : x
  2. Step 2: Convert to fraction form
    274.87/412.15 = 144.55/x
  3. Step 3: Cross multiply
    274.87x = 412.15 × 144.55
  4. Step 4: Simplify right side
    274.87x = 59,576.28
  5. Step 5: Solve for x
    x = 59,576.28/274.87
  6. Step 6: Final answer
    x = 216.74

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Why These Related Problems?

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