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Finding the Fourth Proportional to 273.61, 412.55 and 270.19

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Solution

The fourth proportional to 273.61, 412.55 and 270.19 is: 407.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.61 : 412.55 = 270.19 : x
  2. Step 2: Convert to fraction form
    273.61/412.55 = 270.19/x
  3. Step 3: Cross multiply
    273.61x = 412.55 × 270.19
  4. Step 4: Simplify right side
    273.61x = 111,466.88
  5. Step 5: Solve for x
    x = 111,466.88/273.61
  6. Step 6: Final answer
    x = 407.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.