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Finding the Fourth Proportional to 274.55, 412.12 and 273.53

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Solution

The fourth proportional to 274.55, 412.12 and 273.53 is: 410.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.55 : 412.12 = 273.53 : x
  2. Step 2: Convert to fraction form
    274.55/412.12 = 273.53/x
  3. Step 3: Cross multiply
    274.55x = 412.12 × 273.53
  4. Step 4: Simplify right side
    274.55x = 112,727.18
  5. Step 5: Solve for x
    x = 112,727.18/274.55
  6. Step 6: Final answer
    x = 410.60

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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.